Fill in the blank. Columns of an matrix are an orthonormal basis for , if and only if is a matrix.
Given the matrix what is the greatest number for which no entry of is greater than 1?
Let be a matrix whose entries are all zero. If is any matrix, which of following is equivalent to ?
Given that find the value of .
Given that , find .
Using the properties of determinants, find the value of
Let and be the identity matrix. Find , , and their product , and then use this to express as a combination of and .
Find numbers , , and so that .