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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)