Engineering Board Exam Reviewer · Determinants · easy

If (A)=5 and (B)=3, find (AB).

  1. 15
  2. 8
  3. 53
  4. 2

Answer

A. 15

Solution

(AB)= (A) (B)=5(3)=15.

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  1. Evaluate the determinant of the upper triangular matrix bmatrix3&7&2\0&5&1\0&0&4 bmatrix.
  2. Find the determinant of bmatrix2&4\1&2 bmatrix. What does this indicate about the matrix?
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  5. Evaluate the determinant of bmatrix2&0&1\3&1&2\1&0&3 bmatrix.
  6. Evaluate the determinant of bmatrix1&2&3\0&1&4\5&6&0 bmatrix.
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