Matrix Operations and Properties

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'. For example, a 3x2 matrix has 3 rows and 2 columns.

Front

What is matrix addition?

Back

Matrix addition involves adding corresponding elements of two matrices of the same dimensions.

Tags

CCSS.HSN.VM.C.8

Front

What is matrix subtraction?

Back

Matrix subtraction involves subtracting corresponding elements of two matrices of the same dimensions.

Tags

CCSS.HSN.VM.C.8

Front

What is matrix multiplication?

Back

Matrix multiplication involves multiplying rows of the first matrix by columns of the second matrix. 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 the 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 the determinant of a matrix?

Back

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

Front

What is an inverse matrix?

Back

An inverse matrix is a matrix that, when multiplied by the original matrix, yields the identity matrix. Not all matrices have inverses.

Tags

CCSS.HSA.REI.C.9