Grade 11 Matrices Worksheet

A worksheet for Grade 11 algebra students focusing on fundamental matrix operations, determinants, and inverses.

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Includes

4 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.APR.C.7CCSS.MATH.CONTENT.HSN.VM.C.6CCSS.MATH.CONTENT.HSN.VM.C.8

Topics

MatricesAlgebraGrade 11Math

8 sections · Free to use · Printable

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Read each question carefully and show all your work. Use the provided space for your answers.

1. Given matrices A = [ 2 3 ] [ 1 5 ] and B = [ 4 -1 ] [ 0 2 ], find A + B.

2. Given matrices C = [ 7 0 ] [ 3 -2 ] and D = [ 1 5 ] [ -4 6 ], find C - D.

1. Given matrix E = [ 5 -2 ] [ 1/2 8 ], find 3E.

2. Given matrix F = [ 0.5 1.5 ] [ -2 4 ], find 2F.

1. If A = [ 1 2 ] [ 3 4 ] and B = [ 5 6 ] [ 7 8 ], what is the product AB?

[ 19 22 ] [ 43 50 ]

[ 5 12 ] [ 21 32 ]

[ 6 8 ] [ 10 12 ]

[ 19 43 ] [ 22 50 ]

2. For matrices P = [ 2 0 ] [ 1 3 ] and Q = [ -1 4 ], what are the dimensions of PQ?

2x1

1x2

2x2

Undefined

1. Find the determinant of matrix M = [ 3 -2 ] [ 4 5 ].

2. Find the determinant of matrix N = [ 6 1 ] [ 2 0 ].

1. Find the inverse of matrix P = [ 2 1 ] [ 3 2 ].

2. Does the matrix Q = [ 4 2 ] [ 2 1 ] have an inverse? Explain why or why not.

1. Matrix multiplication is always commutative (AB = BA).

True

False

2. A square matrix is a matrix with the same number of rows and columns.

True

False