Question

How do I multiply the matrix `((3, 0, -19),(0, 7, 1), (1, 1/5, 2/3))` by -6?

Answer 1

You would do this by multiplying every single component of that matrix by -6. Let's say that you had the matrix:

`((a,b),(c,d))` multiplied by some constant `k`. You would then have:

`k ((a,b),(c,d))`=`((ka,kb),(kc,kd))`

So in your case, with k=-6 and `*` denoting multiplication, and we have:

`-6((3,0,-19),(0,7,1),(1,1/5,2/3))=((-6*3,-6*0,-6*-19),(-6*0,-6*7,-6*1),(-6*1,-6*1/5,-6*2/3))=((-18,0,114),(0,-42,-6),(-6,-6/5,-4))`