Math, asked by samson283, 1 month ago

Find the value of (lamda) if (lamda)A^{-1} =A and A=\left[\begin{array}{ccc}2&3\\5&-2\\\end{array}\right]

Answers

Answered by Radhaisback2434
0

Step-by-step explanation:

AA

−1

=I

A

−1

A=I

A matrix that has a multiplicative inverse is called an invertible matrix. Only a square matrix may have a multiplicative inverse, as the reversibility, \displaystyle A{A}^{-1}={A}^{-1}A=IAA

−1

=A

−1

A=I, is a requirement. Not all square matrices have an inverse, but if \displaystyle AA is invertible, then \displaystyle {A}^{-1}A

−1

is unique. We will look at two methods for finding the inverse of a \displaystyle 2\text{}\times \text{}22×2 matrix and a third method that can be used on both \displaystyle 2\text{}\times \text{}22×2 and \displaystyle 3\text{}\times \text{}33×3 matrices.

Hope its help.

Similar questions