Quiz about Matrix Properties

Question 1

Question 1.

Accepted Answer

The same as the second column of C

Answer

The sum of the first and second columns of C

Answer

The sum of the second and fourth columns of C

Answer

The same as the third row of D

Answer

The sum of the first and the third columns of C

Question 2

If A is a 3 $$ imes$$ 3 non-singular matrix such that $$AA^T=A^{T^{ }}A$$ and $$B=A^{-1}A^T$$ , then $$BB^T=$$

Accepted Answer

$$I_3$$

Answer

A

Answer

B

Answer

$$B^T$$

Question 3

Calculator allowed

Accepted Answer

Accepted Answer

Accepted Answer

Question 4

Which of the following is NOT a property of matrix operations?

Accepted Answer

AB = BA

Answer

A + B = B + A

Answer

(AB)C = A(BC)

Answer

(A + B) + C = A + (B + C)

Question 5

A(n) ____________ is a rectangular arrangement of numbers into rows and columns.

Accepted Answer

matrix

Answer

square

Answer

identity

Answer

scalar

Question 6

A + B is the same as B + A, for any matrices A and B.

Accepted Answer

TRUE

Answer

FALSE

Question 7

A + (B + C) is the same as (A + B) + C, for any matrices A, B, and C.

Accepted Answer

TRUE

Answer

FALSE

Question 8

What kind of matrix consists of only 1's along the main diagonal and 0's everywhere else.

Accepted Answer

Identity Matrix

Answer

Skew Symmetric Matrix

Answer

Lower Triangular Matrix

Answer

Symmetric Matrix

Question 9

If I were to add a matrix of arbitrary numbers to a matrix of all zeros, what would I get?

Accepted Answer

A matrix of the same arbitrary numbers

Answer

A matrix of zeros

Answer

A upper triangular matrix

Answer

The identity matrix

Question 10

What is the rank of this linear system?

Accepted Answer

3

Answer

Infinite

Answer

0

Answer

1

Matrix Properties