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Assignment 19: More matrix equations and inverses
- 1.
- Show that
is solvable for all choice of . Hint: the
row-reduced echelon form of the
matrix is
.
Moreover, show that for each choice of
, there are infinitely many solutions.
- 2.
- Find all
for which
is solvable.
Find all solutions to
- 3.
- Let
.
Use row reduction to find the inverse of , and solve the matrix
equation
both by using the inverse of , and by row reducing the augmented
matrix.
Math 8 Fall 1999
1999-10-29