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If `A` is a square matrix such that `A^2=A` , then write the value of `7A-(I+A)^3,` where `I` is the identity matrix.

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To solve the problem, we need to find the value of \( 7A - (I + A)^3 \) given that \( A^2 = A \), where \( I \) is the identity matrix. ### Step 1: Expand \( (I + A)^3 \) We will use the binomial expansion formula for \( (I + A)^3 \): \[ (I + A)^3 = I^3 + 3I^2A + 3IA^2 + A^3 \] ...
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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
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  2. If A is a square matrix such that A^2=A ,then (I+A)^3-7A is equal to

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  3. If A is a square matrix such that A^2=A , then write the value of 7A-(...

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