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प्रश्न
Solve the matrix equations:
`[x1][[1,0],[-2,-3]][[x],[5]]=0`
उत्तर
[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`
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