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Assignment 18: Matrix equations and matrix algebra
- 1.
- For the two matrices below, find the dimension of the solution
space of
. Then find all the solutions. You should be
able to determine the dimension without finding the solutions.
and
- 2.
- Suppose that the matrix
has row-reduced echelon form
given
below.
and
Find all solutions to the matrix equation
given that
is a particular
solution.
- 3.
- Let
,
, and
.
Determine which of the nine products
are defined. Evaluate the first three valid products.
- 4.
- Find
. You may
want to find
and
to start.
Can you prove your result?
- 5.
- Find two
matrices
and
neither of which is
the zero matrix, but for which
.
Math 8 Fall 1999
1999-10-29