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```
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 …...​.?
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

Vikas TU
14149 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 = AHence in R.H.S,I + 27A = > I + A {multiplying A with 27 times would gve again A itself}Therfore, (A +I)​n​ = I + AHence,n = 1
```
4 years ago
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• 101 Video Lectures
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• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions