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Grade 12 Matrix Operations Worksheet with Answers

Grade 12 (US) · Year 13 (UK) · Class 12 (India) · Math

Unit 2: Vectors & MatricesMatricesCCSS N-VM.C.8

Adding and multiplying matrices and finding 2 × 2 determinants. This free high school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Matrix Operations

Grade 12 · Math

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Class

Date

Learning goal: Matrices · CCSS N-VM.C.8

Directions: Solve each problem. Show your work, then write your answer in the box.

Example

A = [[7, -2], [9, 4]]. Find 2A.

Answer: [[14, -4], [18, 8]]

RememberMatrices and vectors

1
A = [[-4, 6], [9, 8]], B = [[8, 1], [-4, -6]]. Find A + B.
Answer
2
A = [[3, 8], [2, -3]], B = [[2, 5], [-6, 0]]. Find A + B.
Answer
3
Find the determinant of [[-5, -1], [-4, 3]].
Answer
4
A = [[2, 6], [-6, -3]], B = [[0, 8], [7, -6]]. Find AB.
Answer
5
A = [[3, 1], [6, 0]], B = [[8, -1], [5, 4]]. Find AB.
Answer
6
A = [[4, -5], [2, 9]], B = [[-4, 0], [5, 7]]. Find AB.
Answer
7
A = [[4, -3], [1, 3]], B = [[6, -2], [-4, 6]]. Find AB.
Answer
8
A = [[1, -5], [2, 0]], B = [[6, 0], [-4, -2]]. Find A - B.
Answer
9
A = [[-3, -1], [6, 5]], B = [[-5, 1], [6, 5]]. Find A - B.
Answer
10
A = [[-3, -3], [-5, 0]], B = [[3, 2], [1, -3]]. Find A - B.
Answer
11
A = [[0, -5], [6, 4]], B = [[-3, 1], [2, 6]]. Find AB.
Answer
12
A = [[5, -2], [-2, -6]], B = [[9, 7], [-3, 7]]. Find A + B.
Answer

★ Challenge corner for fast finishers

How many diagonals does a polygon with 15 sides have?

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Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/12/matrices

Answer key (click to show)

1.[[4, 7], [5, 2]]
2.[[5, 13], [-4, -3]]
3.-19
4.[[42, -20], [-21, -30]]
5.[[29, 1], [48, -6]]
6.[[-41, -35], [37, 63]]
7.[[36, -26], [-6, 16]]
8.[[-5, -5], [6, 2]]
9.[[2, -2], [0, 0]]
10.[[-6, -5], [-6, 3]]
11.[[-10, -30], [-10, 30]]
12.[[14, 5], [-5, 1]]
★90 (challenge corner)

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