# Excel MDETERM Function

## What is MDETERM Function in Excel?

The MDETERM function is one of the math functions of Excel.

It Returns the matrix determinant of an array.

We can find this function in Math & trig category of insert function Tab.

## How to use MDETERM function in excel

1. Click on an empty cell (like F5 )

2. Click on fx icon (or press shift+F3)

3. In the insert function tab you will see all functions

4. Select math and trig category

5. Select MDETERM function

6. Then select ok

7. In the function arguments Tab you will see MDETERM function

8. Array is a numeric array with an equal number of rows and columns, either a cell range or an array constant

9. You will see results in the formula result section

## Examples of MDETERM function in Excel

1. To find the determinant of a matrix in cells A1:B2, you would use the formula “=MDETERM(A1:B2)”.
2. To find the determinant of a larger matrix in cells A1:C3, you would use the formula “=MDETERM(A1:C3)”.
3. To find the determinant of a 2×2 matrix using cell references instead of values, you could use the formula “=MDETERM(A1:B2)”, assuming that cells A1:B2 contain the matrix values.
4. To find the determinant of a 3×3 matrix using cell references instead of values, you could use the formula “=MDETERM(A1:C3)”, assuming that cells A1:C3 contain the matrix values.
5. To find the determinant of a matrix that is the result of another calculation, you could nest that calculation inside the MDETERM function. For example, if you have a matrix in cells A1:B2 and want to multiply it by a scalar value in cell C1 and then find the determinant, you could use the formula “=MDETERM(A1:B2*C1)”.
6. To find the determinant of a matrix that is the transpose of another matrix, you can use the TRANSPOSE function to flip the rows and columns before applying the MDETERM function. For example, if you have a matrix in cells A1:B2 and want to find the determinant of its transpose, you could use the formula “=MDETERM(TRANSPOSE(A1:B2))”.
7. To find the determinant of a matrix that is the inverse of another matrix, you can use the MINVERSE function to first calculate the inverse before applying the MDETERM function. For example, if you have a matrix in cells A1:B2 and want to find the determinant of its inverse, you could use the formula “=MDETERM(MINVERSE(A1:B2))”.
8. To find the determinant of a matrix that is the sum of two other matrices, you can add the matrices together first before applying the MDETERM function. For example, if you have matrices in cells A1:B2 and C1:D2 and want to find the determinant of their sum, you could use the formula “=MDETERM(A1:B2+C1:D2)”.
9. To find the determinant of a matrix that is the product of two other matrices, you can multiply the matrices together first before applying the MDETERM function. For example, if you have matrices in cells A1:B2 and C1:D2 and want to find the determinant of their product, you could use the formula “=MDETERM(A1:B2*C1:D2)”.
10. To find the determinant of a matrix using a named range instead of cell references, you can define a named range for the matrix and then use that name in the MDETERM formula. For example, if you have a named range “MyMatrix” that contains the matrix values, you could use the formula “=MDETERM(MyMatrix)”.

Example 1:

### How to use MDETERM function in excel

You can see examples of MDETERM function below:

``````mdeterm(A2,B3) ----->>>>answer is  -2

``````

## MDETERM Function in Excel: The Key to Determining Matrix Properties

The MDETERM function in Excel is a powerful tool for determining properties of matrices. For example, you can use it to test whether a matrix is invertible or not. If the determinant of a matrix is zero, then the matrix is not invertible.

For example, let’s say we have a 2×2 matrix:

``````A = | 4  7 |
| 2  6 |
``````

To find its determinant, we can use the formula “=MDETERM(A1:B2)”, which returns a value of 14. Since the determinant is not zero, we know that the matrix is invertible.

## Array Formulas Made Easy with MDETERM Function in Excel

The MDETERM function in Excel can be used as part of an array formula to perform calculations on multiple sets of data at once. To use an array formula with the MDETERM function, you will need to select a range of cells instead of a single cell as the output. When you enter the formula, press “Ctrl+Shift+Enter” instead of just “Enter”.

For example, let’s say we have two 2×2 matrices A and B:

``````A = | 4  7 |
| 2  6 |

B = | 3  8 |
| 9  5 |
``````

To multiply these matrices together and find their determinant in an array formula, we can use the formula “{=MDETERM(A1:B2*B1:C2)}”, which returns a value of -70.

## How to Accurately Use MDETERM Function in Excel: Examples Included

To accurately use the MDETERM function in Excel, you will need to provide it with a matrix as an argument and ensure that the matrix is square (i.e. has an equal number of rows and columns). You can also use the MDETERM function as part of other calculations, such as finding the inverse of a matrix.

For example, let’s say we have a 3×3 matrix:

``````A = | 1  2  3 |
| 4  5  6 |
| 7  8  9 |
``````

To find the determinant of this matrix, we can use the formula “=MDETERM(A1:C3)”, which returns a value of 0. To find the inverse of this matrix, we can use the formula “=MINVERSE(A1:C3)/MDETERM(A1:C3)”, which returns the following matrix:

``````| -0.25  0.5   -0.25 |
|  0.5  -1     0.5  |
| -0.25  0.5  -0.25 |
``````

## Financial Analysis Made Easier with MDETERM Function in Excel

The MDETERM function in Excel is useful for financial analysis because it allows you to quickly determine whether a matrix is invertible or not. This is important in many financial calculations, such as calculating the covariance matrix and portfolio variance.

For example, let’s say we have a 2×2 covariance matrix:

``````Cov = | 0.01  0.03 |
| 0.03  0.09 |
``````

To check whether this matrix is invertible, we can use the formula “=MDETERM(A1:B2)”, which returns a value of 0.0004. Since the determinant is not zero, we know that the matrix is invertible and we can use it to calculate portfolio variance.

## Divide and Conquer: Using MDETERM Function to Divide Numbers in Excel

While the MDETERM function is typically used to find the determinant of a matrix, it can also be used for dividing two numbers. To do this, you would simply enter the two numbers as a 1×2 matrix and use the MDETERM function to find the quotient.

For example, let’s say we want to divide the number 10 by the number 3 using the MDETERM function. We can represent these numbers as a 1×2 matrix:

``````A = | 10  3 |
``````

To find the quotient, we can use the formula “=MDETERM(A1:B1)”, which returns a value of 3 (the integer part of the division operation).

## Excel Users Rejoice: 10 Examples of MDETERM Function for Optimal Data Analysis

There are many ways to use the MDETERM function in Excel for data analysis. Here are 10 examples:

1. Checking whether a matrix is invertible
2. Finding the volume or area scaling factor
3. Solving systems of linear equations
4. Determining the eigenvalues of a matrix
5. Calculating the covariance of a set of variables
6. Finding the inverse of a matrix
7. Calculating the determinant of a matrix product
8. Determining the rank of a matrix
9. Testing for multicollinearity in regression models
10. Calculating the variance-covariance matrix of a portfolio

For example, if we have a 2×2 matrix A:

``````A = | 1  2 |
| 3  4 |
``````

We can use the formula “=MDETERM(A1:B2)” to find the determinant of A, which is -2.

## Understanding the Syntax of MDETERM Function in Excel: A Beginner’s Guide

The syntax for the MDETERM function in Excel is straightforward. You simply provide a matrix as an argument within the parentheses. The matrix can be entered as an array or referenced from a range of cells.

For example, let’s say we have a 3×3 matrix:

``````A = | 1  2  3 |
| 4  5  6 |
| 7  8  9 |
``````

To find the determinant of this matrix using the MDETERM function, we can use the formula “=MDETERM(A1:C3)”, which returns a value of 0.

## Square Matrices Only! An Overview of MDETERM Function in Excel

The MDETERM function in Excel can only be used on square matrices (i.e. matrices with an equal number of rows and columns). If you try to use the MDETERM function on a non-square matrix, you will receive an error message.

For example, let’s say we have a 2×3 matrix B:

``````B = | 1  2  3 |
| 4  5  6 |
``````

If we try to find the determinant of this matrix using the formula “=MDETERM(B1:C2)”, we will receive an error message.

## From Cell Ranges to Named Ranges: Tips and Tricks for MDETERM Function in Excel

You can use cell ranges or named ranges as arguments for the MDETERM function in Excel. Using named ranges can help make your formulas more readable and easier to edit.

For example, let’s say we have a 2×2 matrix C defined as a named range “myMatrix”:

``````C = | 2  4 |
| 1  3 |
``````

To find the determinant of this matrix using the MDETERM function, we can use the formula “=MDETERM(myMatrix)”, which returns a value of 2.

## New Research Reveals: MDETERM Function in Excel Can Handle Matrices of Any Size

Recent research has shown that the MDETERM function in Excel can handle matrices of any size, theoretically. However, larger matrices may require more processing power and may cause Excel to run more slowly.

For example, let’s say we have a large 20×20 matrix D:

``````D = | 1  2  ...  19  20 |
| 1  2  ...  19  20 |
| 1  2  ...  19  20 |
|          ...       |
| 1  2  ...  19  20 |
``````

We can use the formula “=MDETERM(D1:T20)” to find the determinant of this matrix. However, the calculation may take some time to complete depending on the processing power of your computer.

## MDETERM vs. DET Functions: What’s the Difference and Which One Should You Use?

The MDETERM function and the DET function in Excel both calculate the determinant of a matrix. The main difference is that MDETERM can handle larger matrices than DET and also returns an error value if the input matrix is not square.

For example, let’s say we have a 3×3 matrix A:

``````A = | 1  2  3 |
| 4  5  6 |
| 7  8  9 |
``````

To find the determinant of this matrix using the MDETERM function, we can use the formula “=MDETERM(A1:C3)”, which returns a value of 0. To find the determinant of the same matrix using the DET function, we can use the formula “=DET(A1:C3)”, which also returns a value of 0.

## Complex Numbers and MDETERM Function: Excel Users Share Their Tips and Tricks

The MDETERM function in Excel can also be used for matrices that have complex numbers as elements. To do this, you will need to enter the complex numbers in the form “a+bi”, where “a” and “b” are real numbers and “i” represents the imaginary unit.

For example, let’s say we have a 2×2 matrix B with complex number elements:

``````B = | 3+2i  4-5i |
| 6+3i  1+i  |
``````

To find the determinant of this matrix using the MDETERM function, we can use the formula “=MDETERM(B1:C2)”, which returns a value of -17-24i.

## The Power of Matrix Operations: How MDETERM Function Relates to Other Excel Functions

The MDETERM function in Excel can be used in conjunction with other matrix functions, such as MINVERSE and MMULT. This allows you to perform complex calculations on matrices without having to manually enter the values.

For example, let’s say we have a 3×3 matrix C and a 3×1 matrix D:

``````C = | 1  2  3 |
| 4  5  6 |
| 7  8  9 |

D = | 1 |
| 2 |
| 3 |
``````

To find the product of C and D using the MMULT function and then find the determinant of the resulting matrix using the MDETERM function, we can use the formula “=MDETERM(MMULT(C1:E3,D1:D3)))”, which returns a value of 0.

## Mastering Matrix Calculations: How to Use MDETERM Function with Array Formulas in Excel

The MDETERM function in Excel can be used as part of an array formula to perform calculations on multiple sets of data at once. To use an array formula with the MDETERM function, you will need to select a range of cells instead of a single cell as the output. When you enter the formula, press “Ctrl+Shift+Enter” instead of just “Enter”.

For example, let’s say we have two 2×2 matrices E and F:

``````E = | 1  2 |
| 3  4 |

F = | 5  6 |
| 7  8 |
``````

To multiply these matrices together and find their determinants in an array formula, we can use the formula “{=MDETERM(E1:F2*TRANSPOSE(E1:F2))}”, which returns an array of values {-40, 8; 24, -4}.

## Breaking News: MDETERM Function in Excel Used to Calculate Area and Volume in Real-World Applications

The MDETERM function in Excel can be used to calculate the area or volume of objects that have a matrix representation. For example, you can represent a three-dimensional object using a 3×3 matrix and then use the MDETERM function to find its volume.

For example, let’s say we have a 3×3 matrix G that represents a parallelepiped:

``````G = | 1  2  3 |
| 4  5  6 |
| 7  8  9 |
``````

To find the volume of this parallelepiped using the MDETERM function, we can use the formula “=ABS(MDETERM(G1:I3)))”, which returns a value of 0 (because the determinant of the matrix is zero, indicating that the parallelepiped has zero volume).