Question

What matrix is the result of m×H? Enter your answer by filling in the boxes. Enter any fractions as simplified fractions.

Answer 1

Given :  $5\left[\begin{array}{ccc}-1&2\\4&8\end{array}\right] =\frac{2}{5}m \left[\begin{array}{ccc}-1&2\\4&8\end{array}\right]$

(H + [1  4 - 2]) + [3  2 - 6] = [ -2    3     - 1] + ( [1  4 - 2] +  [3  2 - 6] )

To Find m x H

Solution:

$5\left[\begin{array}{ccc}-1&2\\4&8\end{array}\right] =\frac{2}{5}m \left[\begin{array}{ccc}-1&2\\4&8\end{array}\right]$

=> 5 = 2m/5

=> 25 = 2m

=> m = 25/2

(H + [1  4 - 2]) + [3  2 - 6] = [ -2    3     - 1] + ( [1  4 - 2] +  [3  2 - 6] )

=> H + [1  4 - 2] +  [3  2 - 6] =  [ -2    3     - 1] +   [1  4 - 2] +  [3  2 - 6]  

=> H = [ -2    3     - 1]

m x H = ( 25/2 ) [ -2    3     - 1]

=> [  -25   75/2   -25/2]

m x H =   [  -25   75/2   -25/2]

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