14) If A is a square matrix and
satisfies the relation *
A2 + A-I = 0 then find
*A+71
*A+ 1
*2A+31
*2A-31
its urgent post tye answer
Answers
Answered by
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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
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