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10 Homework Problems 1) Consider three matrices: A = [4 -2; -1 3; 2 1] and B = [-5 2; 1 3] and C = [-3 5; -1 2; 1 7] Find the following: a) A^T b) B^T c) A^T B d) B^T T e) AC^T f) Show that matrix multiplication is not commutative. 2) Suppose A = [1 2 3 4] and B = [-1 2 -2 3]^T. a) Calculate AB, BA, A^T B^T, 2A - 3B^T. b) Use "size" command to find the sizes of the above matrices, and comment on the size differences for AB and BA. c) Use "find" command to locate the positions of several elements in the matrix. For example, [I, J] = find(BA == 6) will give the locations of the elements in BA where the elements are 6. What happens when the element you are looking for is absent in the matrix? 3) Consider two matrices: A = [1 -9 -10; 4 7 13; 3 -1 4] and B = [6 4 -10; -1 4 7; 3 -6 11] Show that AB is not the same as A.*B. Explain the reason for the difference.

          10 Homework Problems

1)
Consider three matrices:
A = [4 -2; -1 3; 2 1] and B = [-5 2; 1 3] and C = [-3 5; -1 2; 1 7]

Find the following:
a) A^T
b) B^T
c) A^T B
d) B^T T
e) AC^T
f) Show that matrix multiplication is not commutative.

2) Suppose A = [1 2 3 4] and B = [-1 2 -2 3]^T.

a) Calculate AB, BA, A^T B^T, 2A - 3B^T.
b) Use "size" command to find the sizes of the above matrices, and comment on the size differences for AB and BA.
c) Use "find" command to locate the positions of several elements in the matrix. For example, [I, J] = find(B*A == 6) will give the locations of the elements in BA where the elements are 6. What happens when the element you are looking for is absent in the matrix?

3) Consider two matrices:
A = [1 -9 -10; 4 7 13; 3 -1 4] and B = [6 4 -10; -1 4 7; 3 -6 11]

Show that A*B is not the same as A.*B. Explain the reason for the difference.

10 Homework Problems

1)
Consider three matrices:
A = [4 -2; -1 3; 2 1] and B = [-5 2; 1 3] and C = [-3 5; -1 2; 1 7]

Find the following:
a) A^T
b) B^T
c) A^T B
d) B^T T
e) AC^T
f) Show that matrix multiplication is not commutative.

2) Suppose A = [1 2 3 4] and B = [-1 2 -2 3]^T.

a) Calculate AB, BA, A^T B^T, 2A - 3B^T.
b) Use "size" command to find the sizes of the above matrices, and comment on the size differences for AB and BA.
c) Use "find" command to locate the positions of several elements in the matrix. For example, [I, J] = find(B*A == 6) will give the locations of the elements in BA where the elements are 6. What happens when the element you are looking for is absent in the matrix?

3) Consider two matrices:
A = [1 -9 -10; 4 7 13; 3 -1 4] and B = [6 4 -10; -1 4 7; 3 -6 11]

Show that A*B is not the same as A.*B. Explain the reason for the difference.

Added by Raquel K.

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