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1. |
Does the inverse of exist? If it does not exist, explain why not. |
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A. |
No; the determinant equals 0. |
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B. |
No; the elements of the principal diagonal are not 1. |
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C. |
No; the matrix is not square. |
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D. |
Yes |
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Hint |
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2. |
Determine whether the pair of matrices are inverses. |
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A. |
no, because fractions cannot be a part of an inverse |
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B. |
no, because A · B I |
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C. |
yes, because each entry in the second matrix is the reciprocal of its corresponding entry in the first matrix |
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D. |
yes, because A · B = I |
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Hint |
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3. |
Determine whether the pair of matrices are inverses. |
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A. |
no, because fractions cannot be a part of an inverse |
B. |
yes, because each entry in the second matrix is the reciprocal of its corresponding entry in the first matrix. |
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C. |
yes, because A · B = I. |
D. |
no, because A · B I |
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Hint |
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4. |
What is the 4 × 4 identity matrix? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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5. |
Find the inverse of if it exists. |
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A. |
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B. |
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C. |
does not exist, since ad – bc = 0 |
D. |
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Hint |
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