Question

If A is a 3$\times$3 matrix, |A|$\red\neq$0 and 3A - K|A|, then write the value of k.​

Answer 1

Answer:

SinceA is a 3×3 matrix, A has 3 rows.

3A is the matrix obtained by multiplying each entry of A by 3.

Thus if A has row vectors a

1

,a

2

and a

3

.

3A has row vectors 3a

1

,3a

2

and 3a

3

.

Since multiplying a single row of a matrix A by a scalar r has the effect of multiplying the determinant of A by r, we obtain:

det (3A)=3×3×3 det (A)=27 det (A)

∴k=27.

Step-by-step explanation:

correct answer is 27 PLEASE MARK ME AS BRAINLEAST AND THANKS MY ANSWER AND FOLLOW ME.

Answer 2

Step-by-step explanation:

Here is your answer miss

Please check the attachment

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