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Grade 11 · Math · Algebra 2

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

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

Grade 11 Math Worksheet - Challenge Me

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

  1. Row 1: 7, 2, -5; row 2: 3, 2, 2. Jun multiplies matrix A by the scalar -2. Which matrix is -2A?

    • rows (-14, 2, -5) and (3, 2, 2)
    • rows (14, 4, 10) and (6, 4, 4), signs dropped
    • rows (-14, -4, 10) and (-6, -4, -4)
    • rows (5, 0, -7) and (1, 0, 0)

  2. Row 1: -1, -1; row 2: -3, 4. Kira needs -3A for a matrix puzzle. Which matrix is -3A?

    • rows (-4, -4) and (-6, 1)
    • rows (3, 3) and (9, -12)
    • rows (3, -1) and (-3, 4)
    • rows (3, 3) and (9, 12)

  3. Row 1: 6, -4; row 2: 4, -3; row 3: -3, 3. Luz finds the scalar multiple -4A. Which matrix is it?

    • rows (2, -8), (0, -7) and (-7, -1)
    • rows (-24, 16), (-16, 12) and (12, -12)
    • rows (-24, -4), (4, -3) and (-3, 3)
    • rows (24, 16), (16, 12) and (12, 12), signs dropped

  4. Row 1: 5, -4; row 2: 5, 6. Which matrix is -5A, the multiple Milo has to find?

    • rows (0, -9) and (0, 1)
    • rows (-25, -4) and (5, 6)
    • rows (25, 20) and (25, 30)
    • rows (-25, 20) and (-25, -30)

  5. Row 1: -4, 8; row 2: 2, 6. Matrix B: row 1: 5, -2; row 2: -1, -4. Zee finds 2A − 3B. What is the entry in row 1, column 2?

  6. Row 1: 1, -4; row 2: 8, 8. Matrix B: row 1: -6, 8; row 2: 4, 6. What is the entry in row 2, column 1 of 3A + 2B, the matrix Esme is finding?

  7. Row 1: -7, 6; row 2: -6, 7. Matrix B: row 1: -6, 1; row 2: 3, -4. Jun needs -2A − B for a puzzle. What is its entry in row 2, column 2?

  8. Read this first

    Matrix S

    Row 1: 28, 23, 36; row 2: 23, 36, 34; row 3: 31, 39, 10. Matrix T: row 1: 2, 19, 10; row 2: 12, 12, 11; row 3: 9, 14, 8. Rows are pens, markers, crayon boxes; columns are red, blue, green.

  9. Matrix S is the art room's stock and matrix T is what classes used. Milo finds S − T. How many green pens are left?

  10. Matrix S

    Row 1: 17, 18; row 2: 16, 16. Matrix D: row 1: 15, 14; row 2: 11, 2. Rows are juice, milk; columns are small, large.

  11. The cafeteria stock is matrix S. Matrix D is one delivery, and two deliveries arrive. Noah finds S + 2D. How many large juice cartons are there?

  12. Matrix S

    Row 1: 22, 31, 20; row 2: 19, 16, 22; row 3: 39, 26, 23. Matrix D: row 1: 11, 9, 11; row 2: 13, 6, 5; row 3: 4, 11, 5. Rows are rulers, glue sticks, pencil boxes; columns are art room, music room, science room.

  13. Matrix S counts supplies in three rooms, and matrix D is one weekly delivery. Two deliveries arrive, and Pia finds S + 2D. How many pencil boxes does the art room have?

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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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