Question

14) If A is a square matrix and
satisfies the relation *
A2 + A-I = 0 then find
${a}^{ - 1}$





*A+71
*A+ 1
*2A+31
*2A-31

its urgent post tye answer​

Answer 1

Step-by-step explanation:

Just use the property of an inverse matrix:

(A^-1)*A=I

Write the equation in the following form:

A*A-2*A+I=0

Find I from there: I=A*(2-A) or which is equal to A*(A^-1)

A*(2-A)-A*(A^-1)=0

Factoring our the matrix A,

A*(2-A-(A^-1))=0

Since A is not equal to zero, the expression inside the brackets must be zero:

2-A=(A^-1) or (A^-1)= 2*I-A