4/30 AMDM: Matrix Scalar Multiplication

Multiply

• 20     15    -10
  30     -5         0
• -20      15     -10
  30     -5          0
• 1        8       3
  11     4        5
• 20     -15     10
  -30         5        0  

What do m, n, p and q equal in this scalar matrix multiplication?

• m=8, n=9, p=-4, q=4 
• m=15, n = -45, p=20, q=-5
• m=20, n=-5, p=15, q=-45
• m=-5, n=20, p=-45, q=15

• 
• 
• 
• 

How would a scalar multiplication be carried out for a matrix?

• Add the Scalar to every element in the matrix
• Dot product the rows of one matrix with the columns of the other matrix
• Multiply every element with the scalar to create a new matrix
• subtract the elements in the first matrix from the elements of the second matrix

AFTER multiplying by the scalar, what will this element be?

a₃₂

AFTER multiplying by the scalar, what will this element be?

a₁₂

AFTER multiplying by the scalar, what will this element be?

a₃₁

AFTER multiplying by the scalar, what will the first row of the matrix be? Put one number in each box in the correct order.

AFTER multiplying by the scalar, what will the second row of the matrix be? Put one number in each box in the correct order.

What is 3A?

• 
• 
• 
•