Q1:
Fill in the blank. Columns of an matrix are an orthonormal basis for , if and only if is a matrix.
Q2:
Given the matrix what is the greatest number for which no entry of is greater than 1?
Q3:
Let be a matrix whose entries are all zero. If is any matrix, which of following is equivalent to ?
Q4:
Given that find the value of .
Q5:
Given that , find .
Q6:
Using the properties of determinants, find the value of
Q7:
Let and be the identity matrix. Find , , and their product , and then use this to express as a combination of and .
Q8:
Find numbers , , and so that .