Engineering Board Exam Reviewer · Matrix Operations · medium

Given A= bmatrix1&2\3&4 bmatrix, find A2-5A.

  1. bmatrix-2&0\0&-2 bmatrix
  2. bmatrix1&0\0&1 bmatrix
  3. bmatrix2&0\0&2 bmatrix
  4. bmatrix2&2\2&2 bmatrix

Answer

C. bmatrix2&0\0&2 bmatrix

Solution

A2= bmatrix7&10\15&22 bmatrix and 5A= bmatrix5&10\15&20 bmatrix. Subtracting gives A2-5A= bmatrix2&0\0&2 bmatrix.

More Matrix Operations questions

  1. Given A= bmatrix1&2\-1&3 bmatrix, find A2.
  2. Given A= bmatrix1&0&2\-1&3&1 bmatrix and B= bmatrix2&1\0&-1\4&3 bmatrix, find AB.
  3. For conformable matrices A and B, (AB)T equals
  4. Given A= bmatrix3&-1\2&0 bmatrix and B= bmatrix1&4\-2&5 bmatrix, find 2A-B.
  5. Given A= bmatrix1&2\3&4 bmatrix and B= bmatrix5&6\7&8 bmatrix, find A+B.
  6. Given A= bmatrix2&1\0&3 bmatrix and B= bmatrix1&4\2&1 bmatrix, find AB.
  7. Find the transpose of A= bmatrix1&2&3\4&5&6 bmatrix.
  8. Given A= bmatrix3&1\2&4 bmatrix, find 2A.
  9. Given A= bmatrix4&2\1&3 bmatrix and B= bmatrix1&0\2&5 bmatrix, find A-B.
  10. If A is a 2×3 matrix and B is a 3×2 matrix, what are the dimensions of the product AB?

All Matrix Operations questions