Worksheet

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

Grade 11 Math Worksheet - Challenge Me

NameDate

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

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

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

  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, -4), (4, -3) and (-3, 3)
    • rows (-24, 16), (-16, 12) and (12, -12)
    • rows (24, 16), (16, 12) and (12, 12), signs dropped

  4. 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?

  5. 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?

  6. Row 1: 5, 5; row 2: -7, 8. Matrix B: row 1: -4, 5; row 2: 2, 5. Kira works out 3A − 2B. What is the entry in row 1, column 1?

  7. Read this first

    Matrix S

    Row 1: 37, 27; row 2: 35, 24. Matrix T: row 1: 24, 15; row 2: 13, 3. Rows are notebooks, folders; columns are red, blue.

  8. The school store's stock is matrix S, and matrix T shows this week's sales. Luz finds S − T. How many red folders are left?

  9. 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.

  10. 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?

  11. 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.

  12. 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?

  13. 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.

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

Answer Key - Grade 11 Math Worksheet - Challenge Me

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

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

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

  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, -4), (4, -3) and (-3, 3)
    • rows (-24, 16), (-16, 12) and (12, -12)
    • rows (24, 16), (16, 12) and (12, 12), signs dropped

  4. 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?

    22

  5. 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?

    32

  6. Row 1: 5, 5; row 2: -7, 8. Matrix B: row 1: -4, 5; row 2: 2, 5. Kira works out 3A − 2B. What is the entry in row 1, column 1?

    23

  7. Read this first

    Matrix S

    Row 1: 37, 27; row 2: 35, 24. Matrix T: row 1: 24, 15; row 2: 13, 3. Rows are notebooks, folders; columns are red, blue.

  8. The school store's stock is matrix S, and matrix T shows this week's sales. Luz finds S − T. How many red folders are left?

    22

  9. 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.

  10. 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?

    26

  11. 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.

  12. 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?

    46

  13. 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.

  14. 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?

    47