Exploring 10-2 Multiplication of Matrices

What is the result of performing scalar multiplication on a matrix with a scalar of 3?

• Subtract 3 from each element of the matrix

• Add 3 to each element of the matrix

• Multiply each element of the matrix by 3

• Divide each element of the matrix by 3

What is the process called when a number is multiplied by every element inside a matrix?

• Matrix division

• Scalar multiplication

• Matrix addition

• Elementary multiplication

How do you find the result of 4A + 2B for given matrices A and B?

• Multiply A by 4 and B by 2, then add the results

• Add A and B first, then multiply by 6

• Multiply A by 4 and B by 2, then subtract the results

• Divide A by 4 and B by 2, then add the results

How do you perform the operation 4A + 2B?

• Add A and B, then multiply by 6

• Multiply A by 2 and B by 4, then add

• Multiply A by 4 and B by 2, then add

• Divide A by 4 and B by 2, then multiply

What is the first step in multiplying two matrices together?

• Multiply the first row by the first column

• Add the first row to the first column

• Divide the first row by the first column

• Subtract the first row from the first column

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

• A scalar

• A single number

• A vector

• Another matrix

What is the result of 6 times 5 plus negative 3 times negative 5?

• 45

• 30

• -45

• 15

What determines if two matrices can be multiplied together?

• The number of rows in both matrices are equal

• The number of columns in both matrices are equal

• The number of rows in the first matrix matches the number of columns in the second

• The matrices are of the same size

What size will the resultant matrix be if a 2x3 matrix is multiplied by a 3x1 matrix?

• 3x3

• 2x1

• 3x1

• 2x3

What indicates that two matrices cannot be multiplied together?

• They have different sizes

• The number of rows in the first does not match the number of columns in the second

• They are both square matrices

• One of them is a scalar