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A quiz to test your knowledge on Matrices.

Questions and Answers

1.

What are the dimensions of [2 5 7 8][5 6 8 9][3 9 0 1] ?
- A.
  
  4x3
- B.
  
  3x4
- C.
  
  2x4
- D.
  
  4x2
Correct Answer
B. 3x4

Explanation
Row x Column

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1
0
2.

Identify a₃₁ in [2 5 7 8][5 6 8 9][3 9 0 1]
- A.
  
  0
- B.
  
  7
- C.
  
  3
- D.
  
  1
Correct Answer
C. 3

Explanation
3 = row
1 = column

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3.

Let A = and B = . What is A + B?
- A.
  
  [6 -5 -1] [2 21 5]
- B.
  
  [6 5 1] [2 21 5]
- C.
  
  [6 -5 1] [2 21 5]
- D.
  
  Undefined
Correct Answer
C. [6 -5 1] [2 21 5]
4.

Which muplications CANNOT be derived from the following matrices? [2 5 7] [1 2] [1 2 3] [1 2] A= [5 6 8] B= [3 4] C= [4 5 6] D= [3 4] [3 9 0] [5 6]
- A.
  
  B x C
- B.
  
  C x A
- C.
  
  A x D
- D.
  
  B x D
- E.
  
  D x B
Correct Answer
D. B x D

Explanation
Can only multiply matrices if the number of column in the first matrix and the number of rows in the second matrix is the same.

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5.

_{^{Matrix operations possess many properties. Let A, B and C be 3
matrices of the same size n x n, and d and e be 2 different real number
scalars. Which of the following is NOT one of the properties?}}
- A.
  
  D(AB) = (dA)B = A(dB)
- B.
  
  A(BC) = (AB)C
- C.
  
  D(eA) = (de)A
- D.
  
  (A+B)^2 = A^2 + 2AB + B^2
- E.
  
  A(B+C) = AB + AC
Correct Answer
D. (A+B)^2 = A^2 + 2AB + B^2

Explanation
In general, (A+B)^2 is not equal to A^2 + 2AB + B^2, unless AB = BA. Actually, (A+B)^2 = (A+B)(A+B) = A^2 + AB + BA + B^2. The order of arrangement in matrix multiplication operation is very important, unlike the normal real number multiplication operation. We can write 6 = 1 x 6 = 6 x 1, but usually, AB is not equal to BA.

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6.

Find the unknowns = Present your answer in this format:t=?,y=?No spaces.

Correct Answer
t=-6,y=-1/4 t=-6,y=-0.25

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Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

Current Version
Jan 02, 2013

Quiz Edited by
ProProfs Editorial Team
Jul 05, 2009

Quiz Created by
Danny_s415

Know Your Matrices

What are the dimensions of [2 5 7 8][5 6 8 9][3 9 0 1] ?

Identify a31 in [2 5 7 8][5 6 8 9][3 9 0 1]

Let A = and B = . What is A + B?

Which muplications CANNOT be derived from the following matrices? [2 5 7] [1 2] [1 2 3] [1 2] A= [5 6 8] B= [3 4] C= [4 5 6] D= [3 4] [3 9 0] [5 6]

Matrix operations possess many properties. Let A, B and C be 3 matrices of the same size n x n, and d and e be 2 different real number scalars. Which of the following is NOT one of the properties?

Find the unknowns = Present your answer in this format:t=?,y=?No spaces.

Identify a₃₁ in [2 5 7 8][5 6 8 9][3 9 0 1]

_{^{Matrix operations possess many properties. Let A, B and C be 3
matrices of the same size n x n, and d and e be 2 different real number
scalars. Which of the following is NOT one of the properties?}}