Question

if A=diag (-1,-3,2),then. -2A is equal to:​

Answer 1

Answer:

-2A = diag(2,6,-4)

Step-by-step explanation:

A=diag(-1,-3,2)

-2A = diag(2,6,-4)

May it helps you.

Answer 2

Given :   A=diag(-1,-3,2)

To Find : |-2Al

Solution:

A=diag(-1,-3,2)

=> | A |  = - 1 ( - 3 * 2 - 0)  

= 6

| k A|   = kⁿ| A|   where n * n is order of matrix

Hence | - 2 A |  = (-2)³ | A |

= - 8 * 6

= - 48

or

A=diag(-1,-3,2)

=> 2A =  diag(-2,-6,4)

=> - 2A = diag(2,6,-4)

$-2A=\left[\begin{array}{ccc} 2&0&0\\0& 6&0\\0&0&-4\end{array}\right]$

Hence | - 2 A|  

= 2 ( 6 * (- 4) - 0 )

= - 48

Hence  |-2Al  = -48

Learn More:

If the element of a 2 × 3 matrix is given by aij 1/2(3i -4j) find the value of a23

brainly.in/question/30959920

If a=matrix 2,3,5,-2 write a inverse in terms of a - Brainly.in

brainly.in/question/3109606

Find the inverse of the following matrix by using row elementary ...

brainly.in/question/18338344