Presentation on theme: "Which augmented matrix represents the following system of equations? 1. 2. 3. 4."— Presentation transcript:
Which augmented matrix represents the following system of equations? 1. 2. 3. 4.
Which matrix represents the following system of equations? 1. 2. 3.
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
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
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
Which of the following matrices has an inverse? 1. 2. 3. 4.
Which of the following matrices does not have an inverse? 1. 2. 3. 4. 5. 6.
Let A= and B=. Find the element in row 2, column 1 of the product matrix AB.
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
The determinant of a 2x2 matrix is -7. What is the determinant of the transpose of this matrix?
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.
Which of the following is an upper triangular matrix? 1. 2. 3. 4.
Consider. If then this equation has infinitely many solutions. 1.True 2.False
What is the size of this matrix? 1.2 x 3 2.3 x 2 3.6
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
Let A= and B=. If A and B are equal what is the value of ?