Question

if A is a square matrix of order 3×3 and |A| = 3 then find the value of k if​

Answer 1

Answer:

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Q. 9

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( 3 Votes )

If A is a square

Class 12th

Mathematics - Board Papers

Delhi-2010

Answer

We are given that, A is a square matrix of order 3.

And |3A| = K|A|

We need to find the value of K.

We know that,

If n is the order of a square matrix A, then |3A| = 3n|A|.

Here, 3 is the order of square matrix A, then

|3A| = 33|A|

But, |3A| = K|A|

⇒ K|A| = 33|A|

Comparing Left Hand Side (LHS) and Right Hand Side (RHS), we get

K = 33

⇒ K = 27

Thus, the value of K is 27

Step-by-step explanation:

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Answer 2

Answer:

k=3 as

A2 =9 and A=3

let k=1a

hence k=3

Step-by-step explanation:

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