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  • Explain solution RD Sharma class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 20 maths

Explain solution RD Sharma class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 20 maths

Answers (1)

Answer:

 l = 16

Hint:

Use the basic concept of identity matrix.

Given:

 A=\left[\begin{array}{lll} 2 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 2 \end{array}\right]

Solution:

A5 = lA

Since,

A=\left[\begin{array}{lll} 2 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 2 \end{array}\right]=2\left[\begin{array}{lll} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array}\right]=21\; \; \; \; \; \; \; \; \; \; ......(1)

So,

A5 = [2I]5

= 16 x 2I

=16 x A

Hence

I = 16

Posted by

Gurleen Kaur

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