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VGLA term 1

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Bachelors Degree Mathematics Quiz on VGLA term 1, created by Will Rickard on 29/10/2015.
Will Rickard
Quiz by Will Rickard, updated more than 1 year ago
Will Rickard
Created by Will Rickard over 8 years ago
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Resource summary

Question 1

Question
A system when b1 = b2 = ··· = bm = 0 is called
Answer
  • Homogeneous
  • Non-homogeneous

Question 2

Question
A system is said to be homogeneous when b1 = b2 = ·· ·= bm = 0
Answer
  • True
  • False

Question 3

Question
Homogeneous systems always have at least one solution called “the trivial solution”
Answer
  • True
  • False

Question 4

Question
Homogeneous systems don't have solutions
Answer
  • True
  • False

Question 5

Question
Number of rows
Answer
  • m
  • n

Question 6

Question
Number of columns
Answer
  • m
  • n

Question 7

Question
( 5 6 7 8 ) is a 1 x 4 matrix
Answer
  • True
  • False

Question 8

Question
( 5 6 7 8 ) is a 4 x 1 matrix
Answer
  • True
  • False

Question 9

Question
( 5 6 7 8 9 ) is a 5 x 1 matrix
Answer
  • True
  • False

Question 10

Question
( 5 6 7 8 9 ) is a 1 x 5 matrix
Answer
  • True
  • False

Question 11

Question
The matrix 1 2 3 4 Is a 1 x 4 matrix
Answer
  • True
  • False

Question 12

Question
The matrix 1 2 3 4 Is a 4 x 1 matrix
Answer
  • True
  • False

Question 13

Question
What is the order of The matrix 1 2 3 4
Answer
  • 1 x 4
  • 4 x 1
  • 4
  • 1

Question 14

Question
Two matrices A and B are equal if and only if:
Answer
  • 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.

Question 15

Question
A + (-A) =
Answer
  • 0mxn
  • 0
  • A
  • A-A

Question 16

Question
Matrix Multiplication Is Not Commutative
Answer
  • True
  • False

Question 17

Question
Matrix Multiplication Is Commutative
Answer
  • True
  • False

Question 18

Question
Matrix Multiplication Is Not Associative
Answer
  • True
  • False

Question 19

Question
Matrix Multiplication Is Associative
Answer
  • True
  • False

Question 20

Question
What does it mean for matrix multiplication to be associative ?
Answer
  • ABC = A(BC) = (AB)C
  • ABC = A(BC) = ABC
  • ABC = CBA
  • ABC = CBA = CAB = BCA

Question 21

Question
An n × n matrix is diagonal when: aij =0 for i /= j
Answer
  • True
  • False

Question 22

Question
An n × n matrix is diagonal when: aij =0 for i = j
Answer
  • True
  • False

Question 23

Question
An upper triangular matrix is any n × n matrix where
Answer
  • aij =0 where i /= j
  • aij =0 wherei > j
  • aij =0 where i > i

Question 24

Question
lower triangular matrix has:
Answer
  • aij =0 where j > i
  • aij =0 where j \> i
  • aij =0 where j = i

Question 25

Question
If the n x n matrix A is invertible then
Answer
  • AB = In = BA
  • AB = In = BA-1
  • AB = BA
  • AB = In = B-1A-1
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