Introduction to Matrices Test

Question 1 of 5: Find the order:

$$\left[ \begin{array}{ccc}4 & -1 & 8 & 12\\ 9 & 6 & -4 & -2 \\8 & 2 & 3 & 9\end{array}\right]$$

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3 x 4 x 2

4 x 3

3 x 4

3 x 4 x 3

4 x 3 x 3

Question 2 of 5: Answer the given question:

What is a Square Matrix?

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Has only one row, can have any number of columns

Has only one column, can have any number of rows

Has ones (1's) as entries down the main diagonal and zeros (0's) above and below

Has zeros (0's) as entries down the main diagonal and ones (1's) above and below

Has the same number of rows as columns

Question 3 of 5: Answer the given question:

$$A=\left[ \begin{array}{ccc}1 & 8 & -4\\ -1 & -6 & 2\end{array}\right]$$ What is element a_2,3

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-6

-4

Does not exist

Question 4 of 5: Answer the given question:

$$A=\left[ \begin{array}{ccc}7 & x\\ 5 & 9\end{array}\right]$$ $$B=\left[ \begin{array}{ccc}y & 2\\ 5 & w\end{array}\right]$$ Find w, x, and y, such that A = B

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w = 9, x = 2, y = 7

w = 2, x = 7, y = 9

w = 7, x = 5, y = 2

w = -9, x = -2, y = -7

These two matrices will never be equal

Question 5 of 5: Answer the given question:

$$A=\left[ \begin{array}{ccc}10 & 21\\ w - 2 & 13 \\z + 7 & q - 4\end{array}\right]$$ $$B=\left[ \begin{array}{ccc}x & y\\ 12 & 15 \\14 & 17\end{array}\right]$$ Find q, w, x, y, and z such that A = B

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q = 21, w = 14, x = 10, y = 21, z = 21

These two matrices will never be equal

q = 11, w = 15, x = -2, y = 14, z = 10

q = 1, w = 15, x = -12, y = 20, z = 17

q = -1, w = -15, x = 12, y = -20, z = -17

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