If M - - 0- 1 - and N - - 1- 0 - Show that 3M - 5N - - 5- 3 -

3 [ 0; 1 ] + 5 [ 1; 0 ] =[ 5; 3 ] ...

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Scalar Multiplication of a Matrix

If M = [ 0; 1...

Question

If $M = [\begin{matrix} 01 \end{matrix}]$ and $N = [\begin{matrix} 10 \end{matrix}]$

Show that $3 M + 5 N = [\begin{matrix} 53 \end{matrix}]$

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m [\begin{matrix} - 3 & 4 \end{matrix}] + n [\begin{matrix} 4 & - 3 \end{matrix}] = [\begin{matrix} 10 & - 11 \end{matrix}]

m

n

If 3m - 5m = -1 and 2m = n-3, find the value of (3m+5n) and (m+2n).

A = [\begin{matrix} 3 & - 4 1 & - 1 \end{matrix}]

A^{3} = [\begin{matrix} 7 & - 12 3 & - 5 \end{matrix}]

M = [\begin{matrix} 3 & - 2 - 4 & 0 \end{matrix}] a n d N = [\begin{matrix} - 2 & 2 5 & 0 \end{matrix}]

M + N

A = [\begin{matrix} 1 & - 2 & 3 - 4 & 2 & 5 \end{matrix}]

B = ⎡ ⎢ ⎣ \begin{matrix} 1 & 3 - 1 & 0 2 & 4 \end{matrix} ⎤ ⎥ ⎦

(A B)^{'} = B^{'} A^{'}

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