Question
If A=⎡⎢⎣204628246⎤⎥⎦ and B=⎡⎢⎣84−20−20226⎤⎥⎦ .Compute 3A+2B
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Solution
3A=3⎡⎢⎣204628246⎤⎥⎦=⎡⎢⎣60121862461218⎤⎥⎦2B=2⎡⎢⎣84−20−20226⎤⎥⎦=⎡⎢⎣168−40−404412⎤⎥⎦3A+2B=⎡⎢⎣60121862461218⎤⎥⎦+⎡⎢⎣168−40−404412⎤⎥⎦=⎡⎢⎣6+160+812−418+06−424+06+412+418+12⎤⎥⎦=⎡⎢⎣228818224101630⎤⎥⎦∴3A+2B=⎡⎢⎣228818224101630⎤⎥⎦
3A=3⎡⎢⎣204628246⎤⎥⎦
=⎡⎢⎣60121862461218⎤⎥⎦
2B=2⎡⎢⎣84−20−20226⎤⎥⎦
=⎡⎢⎣168−40−404412⎤⎥⎦
3A+2B=⎡⎢⎣60121862461218⎤⎥⎦+⎡⎢⎣168−40−404412⎤⎥⎦
=⎡⎢⎣6+160+812−418+06−424+06+412+418+12⎤⎥⎦
=⎡⎢⎣228818224101630⎤⎥⎦
∴3A+2B=⎡⎢⎣228818224101630⎤⎥⎦
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