Grade 12 Matrices Worksheet

A comprehensive worksheet for Grade 12 students covering matrix operations, determinants, and inverses.

Includes

5 Short AnswerMultiple ChoiceFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSN.VM.C.6CCSS.MATH.CONTENT.HSN.VM.C.7CCSS.MATH.CONTENT.HSN.VM.C.8CCSS.MATH.CONTENT.HSN.VM.C.9CCSS.MATH.CONTENT.HSN.VM.C.10

Topics

matricesalgebragrade 12determinantsinverses

9 sections · Free to use · Printable

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Read each question carefully and show all your work. Use a separate sheet of paper if more space is needed.

1. Given matrices A = [[3, 1], [2, 0]] and B = [[-1, 4], [5, 2]], calculate A + B.

2. Given matrices C = [[7, -2, 3], [1, 0, 4]] and D = [[-3, 5, 1], [2, -1, 6]], calculate C - D.

3. Given matrix E = [[2, -3], [0, 5], [1, 4]], calculate 4E.

4. Given matrices F = [[1, 2], [3, 4]] and G = [[5, 6], [7, 8]], calculate FG.

5. Can you multiply matrix H = [[1, 2, 3], [4, 5, 6]] by matrix J = [[7, 8], [9, 0]]? Explain why or why not.

6. Find the determinant of the matrix K = [[5, 2], [3, 4]].

7. Find the inverse of the matrix L = [[2, 1], [3, 2]].

8. What is a singular matrix? Give an example.

9. For two matrices A and B, which of the following is generally true?

AB = BA

A + B = B + A

(A + B)^-1 = A^-1 + B^-1

det(A + B) = det(A) + det(B)

10. For a matrix to have an inverse, its determinant must not be .

11. The product of a matrix and its inverse is the matrix.

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