Will Rickard
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Bachelors Degree Mathematics Quiz on VGLA term 1, created by Will Rickard on 29/10/2015.

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VGLA term 1

VGLA term 1

Question 1 of 25

1

A system when b1 = b2 = ··· = bm = 0 is called

Select one of the following:

  • Homogeneous

  • Non-homogeneous

Explanation

Question 2 of 25

1

A system is said to be homogeneous when b1 = b2 = ·· ·= bm = 0

Select one of the following:

  • True
  • False

Explanation

Question 3 of 25

1

Homogeneous systems always have at least one solution called “the trivial solution”

Select one of the following:

  • True
  • False

Explanation

Question 4 of 25

1

Homogeneous systems don't have solutions

Select one of the following:

  • True
  • False

Explanation

Question 5 of 25

1

Number of rows

Select one of the following:

  • m

  • n

Explanation

Question 6 of 25

1

Number of columns

Select one of the following:

  • m

  • n

Explanation

Question 7 of 25

1

( 5 6 7 8 ) is a 1 x 4 matrix

Select one of the following:

  • True
  • False

Explanation

Question 8 of 25

1

( 5 6 7 8 ) is a 4 x 1 matrix

Select one of the following:

  • True
  • False

Explanation

Question 9 of 25

1

( 5 6 7 8 9 ) is a 5 x 1 matrix

Select one of the following:

  • True
  • False

Explanation

Question 10 of 25

1

( 5 6 7 8 9 ) is a 1 x 5 matrix

Select one of the following:

  • True
  • False

Explanation

Question 11 of 25

1

The matrix 1
2
3
4
Is a 1 x 4 matrix

Select one of the following:

  • True
  • False

Explanation

Question 12 of 25

1

The matrix 1
2
3
4
Is a 4 x 1 matrix

Select one of the following:

  • True
  • False

Explanation

Question 13 of 25

1

What is the order of The matrix 1
2
3
4

Select one of the following:

  • 1 x 4

  • 4 x 1

  • 4

  • 1

Explanation

Question 14 of 25

1

Two matrices A and B are equal if and only if:

Select one of the following:

  • Both have the same dimension say m x n
    aij = bij for all i,j.

  • Both have the same dimension say m x n
    a = bij for all i,j.

  • Both have the same dimension say m x n
    aij = bij for some i,j.

  • Both have the same dimension say m x n
    aij = b for all i,j.

Explanation

Question 15 of 25

1

A + (-A) =

Select one of the following:

  • 0mxn

  • 0

  • A

  • A-A

Explanation

Question 16 of 25

1

Matrix Multiplication Is Not Commutative

Select one of the following:

  • True
  • False

Explanation

Question 17 of 25

1

Matrix Multiplication Is Commutative

Select one of the following:

  • True
  • False

Explanation

Question 18 of 25

1

Matrix Multiplication Is Not Associative

Select one of the following:

  • True
  • False

Explanation

Question 19 of 25

1

Matrix Multiplication Is Associative

Select one of the following:

  • True
  • False

Explanation

Question 20 of 25

1

What does it mean for matrix multiplication to be associative ?

Select one of the following:

  • ABC = A(BC) = (AB)C

  • ABC = A(BC) = ABC

  • ABC = CBA

  • ABC = CBA = CAB = BCA

Explanation

Question 21 of 25

1

An n × n matrix is diagonal when: aij =0 for i /= j

Select one of the following:

  • True
  • False

Explanation

Question 22 of 25

1

An n × n matrix is diagonal when: aij =0 for i = j

Select one of the following:

  • True
  • False

Explanation

Question 23 of 25

1

An upper triangular matrix is any n × n matrix where

Select one of the following:

  • aij =0 where i /= j

  • aij =0 wherei > j

  • aij =0 where i > i

Explanation

Question 24 of 25

1

lower triangular matrix has:

Select one of the following:

  • aij =0 where j > i

  • aij =0 where j \> i

  • aij =0 where j = i

Explanation

Question 25 of 25

1

If the n x n matrix A is invertible then

Select one of the following:

  • AB = In = BA

  • AB = In = BA-1

  • AB = BA

  • AB = In = B-1A-1

Explanation

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