Linear Algebra

A vector is a mathematical structure that has both _______ and _______.

• direction, magnitude

• meat, potatoes

• scope, sequence

• scalar, vector

Given u = <3, 7>, find 2u

• u = <21, 2>

• u = <6, 14>

• u = <6, 26>

• u = 23

Find the dot product of <1, -2> and <3, 2>.

• 1

• <4, -4>

• <3, -4>

• <3, 4>

What type of quantity is produced by the dot product of two vectors?

• scalar

• vector

Find the magnitude of vector AB if the initial point is (-3, 1) and the terminal point is (3, 9).

• 6unit

• 10unit

• 8.2unit

• 5unit

Which of the following operations is not valid for vectors?

• Multiplication

• Division

• Addition

•  Subtraction

Two vectors are said to be equal if they have the same:

• Magnitude

• Direction

• Starting point

• All of the above

• None of the above

What is the order of a matrix?

• Number of rows only

• A.  Number of columns only

•  Number of rows and columns

• None of the above

How do you add two matrices?

• A. Subtract corresponding elements

• Multiply corresponding elements

• Sum corresponding elements

• Divide corresponding elements

What is matrix multiplication?

• first matrix column and second matrix raw must be the same

• first matrix raw and second matrix column must be the same

• both first matrix column and second matrix column must be the same

• both first matrix raw and second matrix raw must be the same