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Grade 11 · Math · Algebra 2

11th grade Matrices: size, entries, add, subtract and scalar multiples worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Matrices: size, entries, add, subtract and scalar multiples

Grade 11 Math Worksheet - Building Confidence

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

  1. Top line 8, -4; middle line -5, 2; bottom line 2, -6. Kira's worksheet shows matrix A as a grid. What size is matrix A, rows by columns?

    • 2 × 3
    • 3 × 3
    • 3 × 2
    • 6

  2. Row 1: 6, 4, -4; row 2: 1, 14, -2; row 3: 10, -3, 16. Milo reads matrix A, the school store's stock table. What number is in row 2, column 3 of A?

  3. Row 1: 0, 9, -3; row 2: 14, 10, -5. Matrix A shows Noah's class library counts. What is the entry in row 1, column 2 of A?

  4. Row 1: -5, 14, 2; row 2: 13, 0, -2; row 3: 7, -1, 9. Pia looks up one entry of matrix A. What is the entry in row 3, column 1?

  5. Monday: 6 pencils, 22 erasers, 18 glue sticks; Tuesday: 0 pencils, 20 erasers, 10 glue sticks. Ren turns the table of the school store's sales into a matrix with one row for each day. Which matrix matches the table?

    • rows (6, 0), (22, 20) and (18, 10)
    • rows (0, 20, 10) and (6, 22, 18)
    • rows (6, 22, 18) and (0, 20, 10)

  6. Friday: 1 cookie, 18 muffins, 24 apples; Saturday: 17 cookies, 19 muffins, 5 apples. Zee turns the table of the school fair snack sales into a matrix with one row for each day. Which matrix matches the table?

    • rows (17, 19, 5) and (1, 18, 24)
    • rows (1, 17), (18, 19) and (24, 5)
    • rows (1, 18, 24) and (17, 19, 5)

  7. Row 1: -6, 8; row 2: -2, -7. Matrix B: row 1: 8, -8; row 2: -3, 7. Esme adds matrices A and B. What is the entry in row 1, column 2 of A + B?

  8. Row 1: -8, -8; row 2: 3, -6. Matrix B: row 1: -1, -8; row 2: -7, -7. Jun finds A + B by adding matching cells. What is the entry in row 2, column 1 of A + B?

  9. Read this first

    Matrix A

    Row 1: -2, -3, -7; row 2: 4, -1, 3; row 3: 4, -2, -8. Matrix B: row 1: 1, 8, 7; row 2: -9, 1, -8; row 3: -9, -2, 6.

  10. Kira only needs one cell of A + B. What is the entry in row 1, column 3?

  11. Matrix A

    Row 1: -1, 1, 8; row 2: -1, -3, 2; row 3: -7, -6, 4. Matrix B: row 1: -1, -3, -8; row 2: -1, 5, 4; row 3: -7, 4, -4.

  12. To check one cell of A + B, Luz looks at row 3, column 2. What is that entry?

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11th grade Matrices: size, entries, add, subtract and scalar multiples worksheet – printable
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About this worksheet

Matrices: size, entries, adding, subtracting and scalar multiples. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can give a matrix's size as rows × columns and read the entry in any row and column.
  • I can turn a table of data into a matrix, and add or subtract matrices of the same size.
  • I can multiply a matrix by a number, and say when two matrices cannot be added.

Standard: N-VM.C.6 (+), N-VM.C.7 (+), N-VM.C.8 (+)

Words to know

matrix: A number table in brackets: rows across, columns down.

size: Rows × columns: 2 × 3 means 2 rows and 3 columns.

entry: One number in a matrix, named by its row and column.

scalar: A plain number that multiplies every entry, like the 3 in 3A.

undefined: Cannot be done: matrices of different sizes do not add.

Common mistakes

Mixed up rows and columns. Rows go across and are named first; ask your child to point to row 2, then column 3.

Counted every number instead of giving rows by columns.

Lost a minus sign when adding or subtracting a negative number.

What to say

Ask: how many rows, and how many numbers in each row?

Ask: what is 4 + (−6)? And 4 − (−6)?

Questions parents ask

What is the most common mistake with matrices: size, entries, add, subtract and scalar multiples?

Mixed up rows and columns. Rows go across and are named first; ask your child to point to row 2, then column 3.

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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