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Exercises on determinants and linear systems
Find the determinants:
.
If
A
and
B
are matrices of the same order and det(
A
)=2 and det(
A
)=3, find det(
A
^{2}
B
^{1}
).
Calculate the inverse:
.
Use Cramer's rule to solve the system:
.
Given
, find the values of
k
for which det(
A
)=0. Solve the system
.
Using RouchèCapelli's theorem solve the system:
, where
s
and
t
are real numbers.
Find the values of
t
for which the matrix
is invertible.
Find the values of
t
for which the matrix
is invertible.
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Home page
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Section in English
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Elementary linear algebra
> Exercises on determinants and linear systems
copyright 2000 et seq. maddalena falanga & luciano battaia
first published on march 15 2002  last updated on september 01 2003