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Grade: 12

                        

If A is an Idempotent matric and I is the idenity matrix of the same order, then the value of n such that (A +I) ​n ​ = I+27A is …...​.?

4 years ago

Answers : (1)

Vikas TU
12286 Points
							
From idpotent matrix rule that is a matrix A with when multiplying with itself would yield the matrix itself that is A matrix.
Mathematically,
A.A = A
Hence in R.H.S,
I + 27A = > I + A {multiplying A with 27 times would gve again A itself}
Therfore,
 (A +I)​n​ = I + A
Hence,
n = 1 
4 years ago
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