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Which augmented matrix represents the following system of equations? 1. 2. 3. 4.

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Which matrix represents the following system of equations? 1. 2. 3.

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An ice skating rink does not list their prices. I paid £22.25 for 2 children and 3 adults. The group in front of me paid £20.50 for 5 children and 1 adults. Which system of equations would allow us to determine the prices for children and adults 1.2x + 5y = 22.25 3x + y = 20.50 2.2x + 3y = 22.25 5x + y = 20.50 3.22.25x + 20.50y = 42.75 5x + 6y = 11 4.(22.25/2)x + (22.25/3)y = 0 (20.50/5)x + (20.50)y = 0

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What is the solution to the following system of equations? 2x + 2y = 4 x – y = -6 1.x=½ and y=-¼ 2.x=2 and y=¼ 3.x=-2 and y=4 4.x=2 and y=-4 5.There are an infinite number of solutions 6.There are no solutions

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What is the solution to the following system of equations? 4x + 2y = 6 -16x - 8y = 12 1.x=3/2 and y=0 2.x=-1/2 and y=4 3.x=0 and y=3 4.x=3 and y=-3 5.There are an infinite number of solutions 6.There are no solutions

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Which of the following matrices has an inverse? 1. 2. 3. 4.

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Which of the following matrices does not have an inverse? 1. 2. 3. 4. 5. 6.

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Let A=. What is the value of A -1 ? 1. 2. 3. 4.

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Let 1. 2. 3. 4.

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Calculate. 1. 2. 3. 4.

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Let A= and B=. What is the value of AB? 1. 2. 3. 4.

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Let A= and A -1 =. Use this information to solve 3x+y=5 5x+2y=9 What is the value of x? 1.x=2 2.x=0 3.x=1 4.x=-3

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If A is a 3x4 matrix and B is a 4x2 matrix, then what is the size of AB? 1.3x2 2.4x4 3.2x3 4.None of these

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The point is transformed by the matrix. Which is its new position? 1. 2. 3. 4.

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Let and. Calculate. 1. 2. 3.

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Let A= and B=. Find the element in row 2, column 1 of the product matrix AB.

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Given two matrices A and B, what must be true about their sizes in order to calculate the matrix product AB? 1.A and B must have the same number of rows 2.A must have as many rows as B has columns 3.A must have as many columns as B has rows

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If A=,what is A T ? 1. 2. 3. 4.

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Let A=. Calculate tr(A).

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Which of the following is an identity matrix? 1. 2. 3. 4.

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Which of the following is a symmetric matrix? 1. 2. 3. 4.

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Which of the following relations shows that matrix addition is commutative? 1.A+B=B+A 2.A+(B+C)=(A+B)+C 3.k(A+B)=kA+kB

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Let and. Calculate. 1. 2. 3.

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The determinant of a matrix A and the determinant of its transpose A T are not equal. 1.True 2.False 3.Don’t know

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Calculate the determinant of.

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The determinant of a 2x2 matrix is -7. What is the determinant of the transpose of this matrix?

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Which of the following statements is false? 1.If the determinant of a matrix is zero then the matrix has two identical rows. 2.If a square matrix has two identical rows then its determinant is zero. 3.Both are false. 4.Neither are false.

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Which of the following is an upper triangular matrix? 1. 2. 3. 4.

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Consider. If then this equation has infinitely many solutions. 1.True 2.False

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What is the size of this matrix? 1.2 x 3 2.3 x 2 3.6

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If A and B are both 3x2 matrices then which of the following are not defined? 1.A+B 2.A T B 3.AB 4.AB T 5.All of these are defined

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Let A= and B=. If A and B are equal what is the value of ?

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