Adding subtracting multiplying matrices

Front

What is matrix addition?

Back

Matrix addition is the operation of adding two matrices by adding their corresponding elements. For example, if A and B are two matrices, then (A + B)ij = Aij + Bij.

Tags

CCSS.HSN.VM.C.8

Front

How do you add two matrices of different dimensions?

Back

You cannot add two matrices of different dimensions. Both matrices must have the same number of rows and columns.

Tags

CCSS.HSN.VM.C.8

Front

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

Back

The result is C = [[6, 8], [10, 12]].

Tags

CCSS.HSN.VM.C.8

Front

What is matrix subtraction?

Back

Matrix subtraction is the operation of subtracting one matrix from another by subtracting their corresponding elements.

Tags

CCSS.HSN.VM.C.8

Front

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

Back

The result is C = [[4, 4], [4, 4]].

Tags

CCSS.HSN.VM.C.8

Front

What is 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

Front

If k is a scalar and A = [[1, 2], [3, 4]], what is kA if k = 2?

Back

kA = [[2*1, 2*2], [2*3, 2*4]] = [[2, 4], [6, 8]].

Tags

CCSS.HSN.VM.C.7

Front

What are the dimensions of a matrix?

Back

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

Front

If a matrix has dimensions 3 x 2, how many elements does it contain?

Back

It contains 6 elements (3 rows multiplied by 2 columns).

Front

What is the significance of the element M_3,4 in a matrix?

Back

M_3,4 refers to the element located in the 3rd row and 4th column of the matrix.