NYC.L2

# NYC.L2 - MAT-NYC LAB#2 Basic Matrix Algebra 1 Find a b c...

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Unformatted text preview: MAT-NYC LAB #2 Basic Matrix Algebra 1. Find a , b , c and d if " a b c d # = " c- 3 d- d 2 a + d a + b # . 2. Compute, where possible, a) 3 A- 2 B b) 4 A T- 3 C c) B + 2 D T d) ( A + C ) T , where A = " 2 1- 1 # , B = " 3- 1 2 1 4 # , C = " 3- 1 2 # and D = - 1 3- 1 1 4 . 3. Solve 5 X- " 1 1 1 # = 3 X + 2 " 1 1 1 1 1 #! . 4. Let A = 3- 5 2 6 3 1- 2 5 1 and B = - 1 2- 3 1 1 5 7 2 3 1 6- 1 3 . If C = AB , find the size of C , and compute c 12 , c 22 , c 34 and c 43 . 5. Let A = " 3 4 2- 2- 1- 1 # and B = - 1- 1 2 4 1 . Compute AB and BA . 6. a) Let A = " 1 3- 1 7 # and B = " 2- 1 5 # . Show that AB 6 = BA . b) Let A = 2 1 1 1 2- 1 2 1 and B = 3 1- 2 3- 2 4- 3 5- 1 . Show that AB = BA . 7. Let A and B be 4 × 5 matrices, C : 5 × 4, D : 4 × 2 and E : 5 × 5. Determine which of the following expressions are defined. If defined, state the size of the matrix.the following expressions are defined....
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## This note was uploaded on 09/26/2011 for the course BIO 293 taught by Professor John during the Spring '11 term at Harvard.

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NYC.L2 - MAT-NYC LAB#2 Basic Matrix Algebra 1 Find a b c...

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