Matrix Operations

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers arranged in rows and columns.

Front

What are the dimensions of a matrix?

Back

The dimensions of a matrix are given in the form 'rows x columns', indicating how many rows and columns it has.

Front

How do you add two matrices?

Back

To add two matrices, they must have the same dimensions. Add corresponding elements together.

Tags

CCSS.HSN.VM.C.8

Front

What is the result of adding the matrices [[1, 2], [3, 4]] and [[5, 6], [7, 8]]?

Back

The result is [[6, 8], [10, 12]].

Tags

CCSS.HSN.VM.C.8

Front

How do you subtract two matrices?

Back

To subtract two matrices, they must have the same dimensions. Subtract corresponding elements.

Tags

CCSS.HSN.VM.C.8

Front

What is the result of subtracting the matrices [[5, 6], [7, 8]] from [[1, 2], [3, 4]]?

Back

The result is [[-4, -4], [-4, -4]].

Tags

CCSS.HSN.VM.C.8

Front

What is a scalar multiplication of a matrix?

Back

Scalar multiplication involves multiplying each element of a matrix by a scalar (a single number).

Tags

CCSS.HSN.VM.C.7

Front

What is the result of multiplying the matrix [[1, 2], [3, 4]] by the scalar 2?

Back

The result is [[2, 4], [6, 8]].

Tags

CCSS.HSN.VM.C.7

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere.

Tags

CCSS.HSN.VM.C.10

Front

What is the result of multiplying any matrix by the identity matrix?

Back

The result is the original matrix.

Tags

CCSS.HSN.VM.C.10