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Transcript
name:
Mathematics 220 second quiz
Thursday, July 9, 2015
please show your work to get full credit
1. Find the number of rows and columns in a matrix A for which Av = b
where v is a vector in R3 and b is a vector in R2 .




x
−2x + y




x
2. Find a matrix E for which E  y  = 
.
z
−3x + z
3. TRUE or FALSE: the equation AB = BA holds true for any 2 × 2 matrices A and B.
4. TRUE or FALSE: the equation (AB)C = A(BC) holds true for any 2 × 2 matrices A, B,
and C.
#
"
1
0
"
1 0
c 2
5. Find a matrix M for which M
6. Calculate the matrix product





#
"
9
1
1



=  18 
=  2  and M

1
36
4
#"
1 0
d 3
#
(answer will involve the real numbers c and d)

1 h
i


7. Calculate the matrix product  0  0 x 1
x
(answer will involve the real number x)