Question

Find the determinant of the following matrix:

​

Answer 1

Step-by-step explanation:

det A=5(21+0)+0+2(2-3)

=105-2

=103

Answer 2

The determinant of this matrix is 107.

The determinant of a 3x3 matrix can be found using the formula:

|a b c|

|d e f| = a(ei - fh) - b(di - fg) + c(dh - eg)

|g h i|

Where a, b, c, d, e, f, g, h, i are the elements of the matrix.

So the determinant of the matrix you provided is:

|5 -2 1|

|0 3 -1| = 5(3x7 - (-1)x0) - (-2)(0x7 - (-1)x2) + 1(0x0 - 3x2)

|2 0 7| = 5(21 + 1) - (-2)(0 - 2) + 1(-6) = 105 - 4 + 6 = 107

Therefore, the determinant of this matrix is 107.

• The determinant is a scalar value that can be calculated from the elements of a square matrix. It is often represented using the symbol "det" or "| |".
• The determinant of a matrix is a measure of the matrix's invertibility, and it is often used in linear algebra and calculus. For example, the determinant of a matrix can be used to calculate the volume of a parallelepiped or the area of a parallelogram spanned by the rows or columns of the matrix.

To know more about  determinant visit : https://brainly.in/question/3663047

https://brainly.in/question/3674958

#SPJ3