Given a unimodular matrix A for example:
Need to convert to it to a matrix like this:
where * denotes possible nonzero entries.
Assume that A is row equivalent to B. Find bases for Nul A and Col A.
Find an explicit description of Nul A by listing vectors that span the null space.
Use the definition of Ax to write the matrix equation as a vector equation, or vice versa.
Find k such that the following matrix M is singular.
What is the difference between solving an equation such as 5y + 3 - 4y - 8 = 6 + 9 and simplifying an algebraic expression such as 5y + 3 - 4y - 8 ? If there is a difference, which topic should be taught first ? Why ?