To find the inverse of a 2x2 matrix A = [a b; c d], we use the formula:

A^(-1) = 1/(ad-bc) * [d -b; -c a]

Given the matrix A = [2 5; 1 3], we can substitute into the formula:

A^(-1) = 1/(2*3 - 5*1) * [3 -5; -1 2]

This simplifies to:

A^(-1) = 1/1 * [3 -5; -1 2]

So, the inverse of the matrix A is [3 -5; -1 2], which corresponds to option b.

Question

To find the inverse of a 2x2 matrix A = [a b; c d], we use the formula:

A^(-1) = 1/(ad-bc) * [d -b; -c a]

Given the matrix A = [2 5; 1 3], we can substitute into the formula:

A^(-1) = 1/(2*3 - 5*1) * [3 -5; -1 2]

This simplifies to:

A^(-1) = 1/1 * [3 -5; -1 2]

So, the inverse of the matrix A is [3 -5; -1 2], which corresponds to option b.

Knowee AI · Accepted Answer

To find the inverse of a 2x2 matrix A = [a b; c d], we use the formula:

A^(-1) = 1/(ad-bc) * [d -b; -c a]

Given the matrix A = [2 5; 1 3], we can substitute into the formula:

A^(-1) = 1/(2*3 - 5*1) * [3 -5; -1 2]

This simplifies to:

A^(-1) = 1/1 * [3 -5; -1 2]

So, the inverse of the matrix A is [3 -5; -1 2], which corresponds to option b.

Find the inverse of the matrix A = [2 5; 1 3].a.[3 1; -5 2]b.[3 -5; -1 2]c.[2 -5; 1 3]d.[3 -1; -5 2]