Chapter 4 Matrices Review Round 1: Multiple Choice 1 point each

What are the dimensions of the matrix below? A)2 x 2 B) 2 x 4 C) 4 x 2 D) 4 x 4

What is the value of a 33 ? A)4B) 0 C) 1D) -2

What is the product? A) B) C) D) Impossible

What is the value of T? A)-6B) -4 C) 0 D) 6

What is the vector matrix of the shape below? A) B) C) D)

Below is the vector matrix for a triangle. What would be the new matrix if you moved the triangle 2 to the left and 3 up? A) B) C) D)

What is the sum? A) B) C) D) Impossible

What is the determinant of the matrix below? A)-6 B) 12 C) 18 D) 72

What would be the numerator you would use to solve for x using matrices? A) B) C) D)

Which of the following is an inverse to matrix X? A) B) C) D)

When you multiply two 2x2 matrices that are inverses, the product is… A) B) C) D)

What is the value of a 21 ? A)3B) -1 C) 2D) 0

What is the product? A) B) C) D) Impossible

What is the value of U? A)-8B) -4 C) 12 D) 20

How would you set up the problem to find the area of the triangle below? A) B) C) D)

Below is the vector matrix for a triangle. What would be the new matrix if we dilated the triangle by a factor of 2? A) B) C) D)

Evaluate A) B) C) D) Impossible

What is the determinant of the matrix below? A)-24B) 2 C) 8 D) 10

What would be the numerator you would use to solve for y using matrices? A) B) C) D)

When you multiply two 3x3 matrices that are inverses, the product is… A) B) C) D)

What is the value of a 23 ? A)0B) 4 C) 1D) -2

What is the product? A) B) C) D) Impossible

What is the value of V? A)-3B) 0 C) 12 D) 20

Below is the vector matrix for a triangle. What would be the new matrix if you moved the triangle 1 to the right and 3 down? A) B) C) D)

What would be the numerator you would use to solve for z using matrices? A) B) C) D)

What is the determinant of the matrix below? A)-24B) -10 C) -2 D) 4

Below is the vector matrix for a triangle. What would be the new matrix if we shrunk the triangle by a factor of 4? A) B) C) D)

What would be the denominator you would use to solve for y using matrices? A) B) C) D)

Which of the following is an inverse to matrix X? A) B) C) D)

What is the value of W? A)-20B) 0 C) 12 D) 20

To find the determinant of the matrix below, what is the 1 st step? A) B) C) D)

During the 2 nd step of finding the det. of a 3x3, how many lines do you draw? A)3 up & 3 down B) 3 up & 5 down C) 5 up and & 3 downD) 5 up & 5 down

What do you do to the numbers in the same line? A)Add = 1B) Divide -1 / 3 / -1 = 0.33 C) Multiply -1 * 3 * -1 = 3D) Subtract -1 – 3 – -1 = -3

What do you do to the products of the lines in the same direction? A)Add = -1 B) Divide 3 / -4 / 0 = 0 C) Multiply 3 * -4 * 0 = 0D) Subtract 3 – -4 – 0 =

Finish solving for the determinant A)-7 B) -6 C) 5D) 7 Upward Sum: = 6 Downward Sum: = -1

Which of the following matrix setups would solve for y? A) B) C) D)

Chapter 4 Matrices Review Round 2: Problem Solving 5 point each

Find the Product 1pt for 2x1 answer 2pts for 1 in top entry 2pts for -2 in top entry

Find the Determinant: Show Work 2pt for downward sum 2pts for upward sum 1pt for answer

Rotate the Vector Matrix, V, by 90 ° using the rotation matrix, R. 1pt for multiplying on left 2pts for top row 2pts for bottom row

Chapter 4 Matrices Review Round 3: Problem Solving Wager Points Now Points Bet are All or Nothing Category: Cramer’s Rule

Solve for z z = 4