Adding and Subtracting Matrices

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers arranged in rows and columns.

Front

What is the result of adding two matrices of the same dimensions?

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 the result of subtracting two matrices of the same dimensions?

Back

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

Tags

CCSS.HSN.VM.C.8

Front

How do you determine the dimensions of a matrix?

Back

The dimensions of a matrix are given by the number of rows and columns it contains, expressed as 'rows x columns'.

Front

What must be true in order to subtract two matrices?

Back

The dimensions of the two matrices must be equal.

Tags

CCSS.HSN.VM.C.8

Front

If matrix A is 3 x 2 and matrix B is 3 x 2, can they be added?

Back

Yes, they can be added because they have the same dimensions.

Tags

CCSS.HSN.VM.C.8

Front

If matrix A is 4 x 3 and matrix B is 3 x 4, can they be subtracted?

Back

No, they cannot be subtracted because their dimensions are not equal.

Tags

CCSS.HSN.VM.C.8

Front

What is the formula for adding two matrices A and B?

Back

C[i][j] = A[i][j] + B[i][j] for all i, j.

Tags

CCSS.HSN.VM.C.8

Front

What is the formula for subtracting matrix B from matrix A?

Back

C[i][j] = A[i][j] - B[i][j] for all i, j.

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.