Multiplying Matrices Day 2

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 of 'rows x columns', indicating how many rows and how many columns it has.

Front

What is 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

If matrix A is 4x5 and matrix B is 5x1, what are the dimensions of the product AB?

Back

The product AB will have dimensions 4x1.

Tags

CCSS.HSN.VM.C.8

Front

How do you determine if two matrices can be multiplied?

Back

Two matrices can be multiplied if the number of columns in the first matrix equals the number of rows in the second matrix.

Tags

CCSS.HSN.VM.C.8

Front

What is the result of multiplying a 2x3 matrix by a 3x2 matrix?

Back

The result will be a 2x2 matrix.

Tags

CCSS.HSN.VM.C.8

Front

What is the product of the following matrices: [[1, 2], [3, 4]] and [[5], [6]]?

Back

The product is [[17], [39]].

Tags

CCSS.HSN.VM.C.8

Front

How many elements are in a 3x4 matrix?

Back

A 3x4 matrix has 12 elements.

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 zero matrix?

Back

The zero matrix is a matrix in which all elements are zero.