Question

If P = `|(14 , 17),(13,1)|` and Q = `|(2 , 1),(3 , -3)|` , find matrix M such that P - M = 3Q

Answer 1

P = `|(14 , 17),(13,1)|_(2 xx 2)  Q = |(2 , 1),(3 , -3)|_(2 xx 2)`

P - M = 3Q

M = P - 3Q

M =  `|(14 , 17),(13,1)| - |(6 , 3),(9 , -9)|`

`=|(14 - 6 , 17 - 3),(13 - 9 , 1 + 9)|`

`= |(8 , 14),(4 , 10)|_(2 xx 2)`