Matrices Operations

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers arranged in rows and 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 multiplication?

Back

Matrix multiplication involves taking the dot product of rows and columns of two matrices, where 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 are the conditions for matrix addition?

Back

Matrices can only be added if they have the same dimensions (same number of rows and columns).

Tags

CCSS.HSN.VM.C.8

Front

What are the conditions for matrix multiplication?

Back

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 adding the matrices A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]]?

Back

A + B = [[6, 8], [10, 12]]

Tags

CCSS.HSN.VM.C.8

Front

What is the result of multiplying the matrices A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]]?

Back

A * B = [[19, 22], [43, 50]]

Tags

CCSS.HSN.VM.C.8

Front

What does it mean to find A - B?

Back

Finding A - B means subtracting corresponding elements of matrix B from matrix A.

Tags

CCSS.HSN.VM.C.8

Front

What is the result of finding B - A for B = [[5, 6], [7, 8]] and A = [[1, 2], [3, 4]]?

Back

B - A = [[4, 4], [4, 4]]

Tags

CCSS.HSN.VM.C.8

Front

What is a zero matrix?

Back

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