Properties of Matrix Operations

What description best fits the associative property?

• (a+b)+c=a+(b+c)

  No matter how you group, you get the same answer

• a+b=b+a

  No matter what the order is, you get the same answer

• a(b+c)=ab+ac

  You get the same answer using PEMDAS as you do distributing the coefficient

What description best fits the commutative property?

• (a+b)+c=a+(b+c)

  No matter how you group, you get the same answer

• a+b=b+a

  No matter what the order is, you get the same answer

• a(b+c)=ab+ac

  You get the same answer using PEMDAS as you do distributing the coefficient

What description best fits the distributive property?

• (a+b)+c=a+(b+c)

  No matter how you group, you get the same answer

• a+b=b+a

  No matter what the order is, you get the same answer

• a(b+c)=ab+ac

  You get the same answer using PEMDAS as you do distributing the coefficient

Which properties apply to matrix addition? (Select all of the correct answers)

• Associative

• Commutative

• Distributive

Which properties apply to matrix multiplication? (Select all of the correct answers)

• Associative

• Commutative

• Distributive

What is an identity?

• A transformation that produces the same answer every time

• A transformation that leaves an object unchanged

• A transformation that only changes the sign of the object

• A transformation that produces a linear equation

What is the identity for matrix addition?

• 1 1

  1 1

• 1 0

  0 1

• 0 0

  0 0

• 0 1

  1 0

What is the identity for matrix multiplication?

• 1 1

  1 1

• 1 0

  0 1

• 0 0

  0 0

• 0 1

  1 0