Basic Matrices

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', for example, a 2x3 matrix has 2 rows and 3 columns.

Front

Can you add two matrices of different dimensions?

Back

No, you cannot add two matrices unless they have the same dimensions.

Tags

CCSS.HSN.VM.C.8

Front

What is the result of adding two matrices?

Back

The result is a new matrix where each element is the sum of the corresponding elements from the two matrices.

Tags

CCSS.HSN.VM.C.8

Front

What is a square matrix?

Back

A square matrix is a matrix that has the same number of rows and columns.

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 a zero matrix?

Back

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

Front

How do you denote a matrix?

Back

A matrix is usually denoted by a capital letter, such as A, B, or C.

Front

What is the transpose of a matrix?

Back

The transpose of a matrix is obtained by swapping its rows and columns.

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