Find the matrix X so that `X[[1 ,2 ,3], [4, 5 ,6]]=[[-7,-8,-9],[2,4,6]]`

Answer

N/a

Explanation

the given equation will exists if the the order of matrix X is `2xx2`
`Let X=[{:(a,b),(c,d):}]`
`therefore ` Given equation
`[{:(a,b),(c,d):}][{:(1,2,3),(4,5,6):}]=[{:(-7,-8,-9),(2,4,6):}]`
`implies[{:(a+4b,a+5b,3a+6b),( c+4d ,2c+5d, 3c+6d):}]=[{:(-7,-8,-9),(2,4,6):}]`
`implies a+4b=-7," " c+4d=2
2a+5b=-8," " 2c+5d=4`
` 3a+6b=-9," " 3c +6d=6`
On solving ,
`a=1," " b=-2," " c=2," " d=0`
`therefore X=[{:(1,-2),(2,0):}]`