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Grade 11 · Math · Algebra 2

11th grade Multiply matrices, simplify matrix expressions and solve A + X = B worksheet

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Multiply matrices, simplify matrix expressions and solve A + X = B

Grade 11 Math Worksheet

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Circle the best answer, or write your answer on the line.

  1. Read this first

    Matrix A

    Row 1: 2, -5, 5; row 2: -5, -5, -2. Matrix B: row 1: -3, 3; row 2: 6, 6; row 3: 2, 1.

  2. Ren multiplies matrices A and B. What is the entry in row 1, column 2 of AB?

  3. Matrix A

    Row 1: -3, -3, -4; row 2: 1, -3, -2. Matrix B: row 1: -4, -3; row 2: 5, -5; row 3: 1, 5.

  4. Esme checks row 1, column 1 of AB. What is that entry?

  5. Matrix A

    Row 1: 2, 1, -2; row 2: -5, -9, -1. Matrix B: row 1: -8, 5, 9; row 2: -2, 8, -9.

  6. Milo finds X so that A + X = B. What is the entry in row 1, column 3 of X?

  7. Matrix A

    Row 1: 2, 2; row 2: 5, 8; row 3: -6, 8. Matrix B: row 1: 4, -3; row 2: 12, 4; row 3: 1, -2.

  8. Noah solves the matrix equation A + X = B. What is the entry in row 3, column 1 of X?

  9. Matrix A

    Row 1: 6, 1, 5; row 2: -4, -5, 7. Matrix B: row 1: 4, -5, 12; row 2: -9, 8, -8.

  10. Pia needs the matrix X with A + X = B. What is the entry in row 2, column 2 of X?

  11. Matrix A

    Row 1: -7, -5; row 2: -8, 3; row 3: -1, 5. Matrix B: row 1: 11, -9; row 2: -1, 5; row 3: -7, 8.

  12. In Ren's puzzle, A + X = B. What number goes in row 1, column 2 of X?

  13. Row 1: -3, 2; row 2: 5, 5. Matrix B: row 1: 1, 3; row 2: 4, -4. Tala multiplies the 2 × 2 matrices A and B. Which matrix is AB?

    • rows (12, 17) and (-32, -12)
    • rows (5, -17) and (25, -5)
    • rows (5, -17) and (-25, -5)
    • rows (-3, 6) and (20, -20)

  14. Row 1: 4, 1; row 2: -3, -3. Matrix B: row 1: 2, -4; row 2: 1, 3. Zee needs the product AB for a puzzle. Which matrix is AB?

    • rows (9, -13) and (-9, 3)
    • rows (8, -4) and (-3, -9)
    • rows (9, -13) and (9, 3)
    • rows (20, 14) and (-5, -8)

  15. Row 1: 3, 4; row 2: 2, 3. Matrix B: row 1: 4, 4; row 2: 4, 2. Which matrix is AB, the product Esme is finding?

    • rows (28, 20) and (-20, 14)
    • rows (28, 20) and (20, 14)
    • rows (20, 28) and (16, 22)
    • rows (12, 16) and (8, 6)

  16. Row 1: 2, -3; row 2: 2, -1. Matrix B: row 1: 5, -4; row 2: -2, -2. Jun checks a homework answer for AB. Which matrix is AB?

    • rows (2, -11) and (-8, 8)
    • rows (16, -2) and (12, -6)
    • rows (10, 12) and (-4, 2)
    • rows (16, -2) and (-12, -6)
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11th grade Multiply matrices, simplify matrix expressions and solve A + X = B worksheet – printable
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About this worksheet

Multiplying matrices, matrix expressions, and solving A + X = B. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can say whether AB is defined and what size it is.
  • I can find any entry of AB by multiplying a row of A by a column of B.
  • I can solve A + X = B and kX = B, and I know that AB and BA are usually different.

Standard: N-VM.C.8 (+), N-VM.C.9 (+)

Words to know

product AB: The matrix whose entries are rows of A times columns of B.

row against a column: Multiply the pairs in order, then add the products.

inner numbers: In 2 × 3 by 3 × 4, the two 3s; they must match.

outer numbers: In 2 × 3 by 3 × 4, the 2 and the 4: the size of AB.

matrix equation: An equation like A + X = B, where X is a matrix.

Common mistakes

Gave the two middle numbers of the sizes as the size of the product.

Wrote the size of the product with columns first.

Multiplied two matrices whose sizes do not fit.

What to say

Ask: which numbers must match, and which give the size?

Ask: how many rows does AB have, from A?

Ask: is a row of A as long as a column of B?

Questions parents ask

What is the most common mistake with multiply matrices, simplify matrix expressions and solve a + x = b?

Gave the two middle numbers of the sizes as the size of the product.

How can I help my child with multiply matrices, simplify matrix expressions and solve a + x = b?

Ask: which numbers must match, and which give the size?

Are these 11th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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