Matrices

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers, symbols, or expressions, 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 from each matrix.

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 from each matrix.

Tags

CCSS.HSN.VM.C.8

Front

What is the result of multiplying a matrix by a scalar?

Back

Multiplying a matrix by a scalar involves multiplying each element of the matrix by that scalar.

Tags

CCSS.HSN.VM.C.7

Front

What is matrix multiplication?

Back

Matrix multiplication involves taking the dot product of rows and columns from two matrices. The number of columns in the first matrix must equal the number of rows in the second.

Tags

CCSS.HSN.VM.C.8

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere. It acts as the multiplicative identity in matrix multiplication.

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

What is a transpose of a matrix?

Back

The transpose of a matrix is obtained by flipping it over its diagonal, turning rows into columns and vice versa.

Front

What is a determinant?

Back

The determinant is a scalar value that can be computed from the elements of a square matrix, providing important properties about the matrix.