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Return to Foundations of Science Mathematics 2e Student Resources
Chapter 9 Multiple choice questions
Matricies
Quiz Content
*
not completed
.
Which algebraic operation is
not
permitted for matrices?
Addition.
correct
incorrect
Subtraction.
correct
incorrect
Multiplication.
correct
incorrect
Division by a matrix.
correct
incorrect
*
not completed
.
Which of the following is
not
true, in general, for square matrices?
A
±
B
=
B
±
A
correct
incorrect
A
x
B
=
B
x
A
correct
incorrect
det(
A
x
B
) = det(
A
) x det(
B
)
correct
incorrect
(
A
x
B
)
^{T}
=
B
^{T}
x
A
^{T}
correct
incorrect
*
not completed
.
Which of the following is
not
consistent with the other three?
The matrix
A
has an inverse,
A
^{-1}
.
correct
incorrect
The rows, and columns, of
A
are linearly independent.
correct
incorrect
det(
A
) = 0.
correct
incorrect
None of the eigenvalues of
A
are equal to zero.
correct
incorrect
*
not completed
.
Which of the following is
not
true, in general, for Hermitian matrices?
They are symmetric,
A
^{T}
=
A
.
correct
incorrect
Their eigenvalues are real.
correct
incorrect
Their eigenvectors are, or can be chosen to be, orthogonal.
correct
incorrect
They can be diagonalised.
correct
incorrect
*
not completed
.
Which of the following is
not
true for simultaneous equations?
They can be written in matrix notation if they are linear.
correct
incorrect
The solution is always unique if there are as many equations as unknowns.
correct
incorrect
There may be no solutions if the associated matrix is singular.
correct
incorrect
Non-trivial solutions for the case when the right-hand-side is equal to zero only exist if the associated matrix is singular.
correct
incorrect
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