Question

Solve the matrix equations:

`[x1][[1,0],[-2,-3]][[x],[5]]=0`

Answer 1

 [x    1] `[[1,0],[-2,-3]]` `[[x],[5]]=0`

`⇒[x−2   0  -3 ] [(x), (5)] ` = 0
`⇒[x−2   -3 ]  [[x],[5]]=0`

`⇒[x^2−2x   -15 ]` =0

`⇒x^2−2x   -15  `=0

`⇒x^2−5x  +3x  -15  `=0

`⇒x(x -5)  +3(x  -15 ) `=0

`⇒(x -5)  (x+3)= 0 `

`⇒x -5 = 0 or x+3= 0 `

`⇒x = 5  or x = -3`