3907519
Beschreibung
Quiz von Will Rickard, aktualisiert more than 1 year ago
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Erstellt von Will Rickard
vor mehr als 8 Jahre
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Frage 1
Frage
A system when b1 = b2 = ··· = bm = 0 is called
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Homogeneous
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Non-homogeneous
Frage 2
Frage
A system is said to be homogeneous when b1 = b2 = ·· ·= bm = 0
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- True
- False
Frage 3
Frage
Homogeneous systems always have at least one solution called “the trivial solution”
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- True
- False
Frage 4
Frage
Homogeneous systems don't have solutions
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- True
- False
Frage 5
Frage
Number of rows
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m
-
n
Frage 6
Frage
Number of columns
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-
m
-
n
Frage 7
Frage
( 5 6 7 8 ) is a 1 x 4 matrix
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- True
- False
Frage 8
Frage
( 5 6 7 8 ) is a 4 x 1 matrix
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- True
- False
Frage 9
Frage
( 5 6 7 8 9 ) is a 5 x 1 matrix
Antworten
- True
- False
Frage 10
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( 5 6 7 8 9 ) is a 1 x 5 matrix
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- True
- False
Frage 11
Frage
The matrix 1
2
3
4
Is a 1 x 4 matrix
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- True
- False
Frage 12
Frage
The matrix 1
2
3
4
Is a 4 x 1 matrix
Antworten
- True
- False
Frage 13
Frage
What is the order of The matrix 1
2
3
4
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1 x 4
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4 x 1
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4
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1
Frage 14
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Two matrices A and B are equal if and only if:
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Both have the same dimension say m x n aij = bij for all i,j.
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Both have the same dimension say m x n a = bij for all i,j.
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Both have the same dimension say m x n aij = bij for some i,j.
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Both have the same dimension say m x n aij = b for all i,j.
Frage 15
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A + (-A) =
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0mxn
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0
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A
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A-A
Frage 16
Frage
Matrix Multiplication Is Not Commutative
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- True
- False
Frage 17
Frage
Matrix Multiplication Is Commutative
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- True
- False
Frage 18
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Matrix Multiplication Is Not Associative
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- True
- False
Frage 19
Frage
Matrix Multiplication Is Associative
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- True
- False
Frage 20
Frage
What does it mean for matrix multiplication to be associative ?
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ABC = A(BC) = (AB)C
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ABC = A(BC) = ABC
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ABC = CBA
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ABC = CBA = CAB = BCA
Frage 21
Frage
An n × n matrix is diagonal when: aij =0 for i /= j
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- True
- False
Frage 22
Frage
An n × n matrix is diagonal when: aij =0 for i = j
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- True
- False
Frage 23
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An upper triangular matrix is any n × n matrix where
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aij =0 where i /= j
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aij =0 wherei > j
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aij =0 where i > i
Frage 24
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lower triangular matrix has:
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aij =0 where j > i
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aij =0 where j \> i
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aij =0 where j = i
Frage 25
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If the n x n matrix A is invertible then
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AB = In = BA
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AB = In = BA-1
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AB = BA
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AB = In = B-1A-1
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