Question

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What matrix is the result of m*H?


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Answer 1

`m * H=\left[\begin{array}{c c c}\boxed{-9} & \boxed{36} & \boxed{-(9)/(2)}\end{array}\right]`

Explanation:

Calculate the value of m

Given:

`3\left[\begin{array}{c c}-1 & 2 \\4 & 8\end{array}\right]=(2)/(3)m * \left[\begin{array}{c c}-1 & 2 \\4 & 8\end{array}\right]`

Therefore:

`\implies 3=(2)/(3)m`

`\implies m=3 * (3)/(2)`

`\implies m=(9)/(2)`

Calculate the value of H

Given:

`\left(H+ \left[\begin{array}{c c c}1 & 4 & -2\end{array}\right]\right)+\left[\begin{array}{c c c}3 & 2 & -6\end{array}\right]=\left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]+\left(\left[\begin{array}{c c c}1 & 4 & -2\end{array}\right]+\left[\begin{array}{c c c}3 & 2 & -6\end{array}\right]\right)`

Therefore:

`\implies H= \left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]`

Calculating m × H

`\implies m * H=(9)/(2) * \left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]`

`\implies m * H=\left[\begin{array}{c c c}(9)/(2)(-2) & (9)/(2)(8) & (9)/(2)(-1)\end{array}\right]`

`\implies m * H=\left[\begin{array}{c c c}-9 & 36 & -(9)/(2)\end{array}\right]`