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Question
If A=⎡⎢⎣123057689⎤⎥⎦ and B=⎡⎢⎣203305570⎤⎥⎦, then find the value of 3A−2B
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Solution
Given, A=⎡⎢⎣123057689⎤⎥⎦ and B=⎡⎢⎣203305570⎤⎥⎦
We need to find 3A−2B
3A=3⎡⎢⎣123057689⎤⎥⎦=⎡⎢⎣36901521182427⎤⎥⎦
2B=2⎡⎢⎣203305570⎤⎥⎦=⎡⎢⎣406601010140⎤⎥⎦
3A−2B=⎡⎢⎣36901521182427⎤⎥⎦−⎡⎢⎣406601010140⎤⎥⎦
=⎡⎢⎣3−46−09−60−615−021−1018−1024−1427−0⎤⎥⎦
Therefore, 3A−2B=⎡⎢⎣−163−6151181027⎤⎥⎦
We need to find 3A−2B
3A=3⎡⎢⎣123057689⎤⎥⎦=⎡⎢⎣36901521182427⎤⎥⎦
2B=2⎡⎢⎣203305570⎤⎥⎦=⎡⎢⎣406601010140⎤⎥⎦
3A−2B=⎡⎢⎣36901521182427⎤⎥⎦−⎡⎢⎣406601010140⎤⎥⎦
=⎡⎢⎣3−46−09−60−615−021−1018−1024−1427−0⎤⎥⎦
Therefore, 3A−2B=⎡⎢⎣−163−6151181027⎤⎥⎦
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