Homework Answers
a) the random generated matrices are:-
![AB+ A ts BetaBata Bis +36) BAC +4_3179 But2482 +82 +) L Lear+A+Bato B AOBA +Anbu tf283] ... abbit f 14 B7+A SESTAI BAT ALABr](http://img.homeworklib.com/questions/2692da50-f564-11eb-b443-75f1eeaa7e49.png?x-oss-process=image/resize,w_560)
b)
1st example:-
2nd
example:-
3rdexample:-
c)
error is triggered when no of columns in first matrix is not equal to no of rows in 2nd matrix..
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2. Partitioned matrices A matrix A is a (2 x 2) block matrix if it is...
Matrices multiplication and Partitioned multiplication: matrix X= 2 1 5 4 2 3 Matrix Y= 1...
Matrices multiplication and Partitioned multiplication: matrix X= 2 1 5 4 2 3 Matrix Y= 1 2 4 2 3 1 1. Find the XY^(T) T means transpose 2.Compute the outer product expansion of XY^(T) . 3. did you get the same answer from 1 and 2?
MATLAB HELP!!! Recall that if A is an m × n matrix and B is a p × q matrix, then the product C = AB is defined if and on...
MATLAB HELP!!! Recall that if A is an m × n matrix and B is a p
× q matrix, then the product C = AB is defined if and only if n =
p, in which case C is an m × q matrix.
5. Recall that if A is an mx n matrix and B is a px q matrix, then the product C-AB is defined if and only if n = p, in which case C is...
QUESTION 6 a) Prove the product of 2 2 x 2 symmetric matrices A and B...
QUESTION 6 a) Prove the product of 2 2 x 2 symmetric matrices A and B is a symmetric matrix if and only if AB=BA. b) Prove the product of 2 nx n symmetric matrices A and B is a symmetric matrix if and only if AB=BA.
5. Dynamic Programming (a) Given a set of four matrices for the following dimensions: We need...
5. Dynamic Programming (a) Given a set of four matrices for the following dimensions: We need to compute Al* A2 A3 A4 Al=2X3; A2=3X5; A3=5X2: A4=2X4 Find the order in which the matrix pairs should be multiplied to produce the optimum number of operations. Show all your steps (10) (b) For the problems given below, determine whether it is more efficient to use a divide and conquer strategy or a dynamic programming strategy. Give the reasons for your choice (5*3=15)...
10×8,8×6,6×15,15×12 4. [15] Dynamic Programming. We are given a set of matrices Ap.A1, A2. .. .An-1. which we must multiply in this order. We let (d, dira) be the dimension of matrix A. The minima...
10×8,8×6,6×15,15×12
4. [15] Dynamic Programming. We are given a set of matrices Ap.A1, A2. .. .An-1. which we must multiply in this order. We let (d, dira) be the dimension of matrix A. The minimal number Nij of operations required to multiply matrices (A, Ati .. A) is defined by: a. Explain this formula. Apply this formula to compute the optimal parenthetization of the product of matrices Ao-A1,Az,A3, where the dimensions of these matrices are, respectively: 6x15, and 15x12. b....
A-2: A3, B3 are the lowest-valued bits (i.e. the 20s digit), F, in the composite circuit,...
A-2: A3, B3 are the lowest-valued bits (i.e. the 20s digit), F,
in the composite circuit, comparing two numbers of 3 bits, G3 = 1
if A> B, S3 = 1 if A <B, A = B Gg = S, = 0. Design the
composite circuit of F so that it works with F to compare two
numbers of 4 bits, A. B, as the bits with the lowest value as
above.
A 2: Ag. B; en düşük değerlikli bitler...
MATLAB: Do the following with the provided .m file (b) Now on the MATLAB prompt, let...
MATLAB: Do the following with the provided .m file (b) Now on the MATLAB prompt, let us create any two 3 × 3 matrices and you can do the following: X=magic(3); Y=magic(3); X*Y matrixMultiplication3by3(X,Y) (c) Now write a new function in MATLAB called matrixMultiplication that can multiply any two n × n matrix. You can safely assume that we will not test your program with matrices that do not have their inner dimensions matched up CODE: function [C] = matrixMultiplicationFor3by3(A,B)...
Matrix Algebra 3. indicated sums and products are defined. Mark each statement True of False. Justify each The foll...
Matrix Algebra
3. indicated sums and products are defined. Mark each statement True of False. Justify each The following questions concern arbitrary matrices A, B, and C for which the answer (a) If A and B are 2 x 2 matrices with columns ai, a2 and bi, b2, respectively, thern 101 a2b2] (b) Each column of AB is a linear combination of the columns of B using weights from the corresponding column of A. (c) AB + AC-A(B +C (d)...
a) Let I be the n x n identity matrix and let O be the n × n zero matrix
a) Let I be the n x n identity matrix and let O be the n × n zero matrix . Suppose A is an n × n matrix such that A3 = 0. Show that I + A is invertible and that (I + A)-1 = I – A+ A2. b) Let B and C be n x n matrices. Assume that the product BC is invertible. Show that B and C are both invertible.
A is a matrix with dimensions 4×3. Select all of the following matrices Bfor which the...
A is a matrix with dimensions 4×3. Select all of the following matrices Bfor which the product AB is defined. Select one or more: a. B is 4×3 b. B is 3×3 c. B is 3×10 d. B is 4×9 e. B is 3×2
MATLAB HELP!!! Recall that if A is an m × n matrix and B is a p
× q matrix, then the product C = AB is defined if and only if n =
p, in which case C is an m × q matrix.
5. Recall that if A is an mx n matrix and B is a px q matrix, then the product C-AB is defined if and only if n = p, in which case C is...
QUESTION 6 a) Prove the product of 2 2 x 2 symmetric matrices A and B is a symmetric matrix if and only if AB=BA. b) Prove the product of 2 nx n symmetric matrices A and B is a symmetric matrix if and only if AB=BA.
5. Dynamic Programming (a) Given a set of four matrices for the following dimensions: We need to compute Al* A2 A3 A4 Al=2X3; A2=3X5; A3=5X2: A4=2X4 Find the order in which the matrix pairs should be multiplied to produce the optimum number of operations. Show all your steps (10) (b) For the problems given below, determine whether it is more efficient to use a divide and conquer strategy or a dynamic programming strategy. Give the reasons for your choice (5*3=15)...
10×8,8×6,6×15,15×12
4. [15] Dynamic Programming. We are given a set of matrices Ap.A1, A2. .. .An-1. which we must multiply in this order. We let (d, dira) be the dimension of matrix A. The minimal number Nij of operations required to multiply matrices (A, Ati .. A) is defined by: a. Explain this formula. Apply this formula to compute the optimal parenthetization of the product of matrices Ao-A1,Az,A3, where the dimensions of these matrices are, respectively: 6x15, and 15x12. b....
A-2: A3, B3 are the lowest-valued bits (i.e. the 20s digit), F,
in the composite circuit, comparing two numbers of 3 bits, G3 = 1
if A> B, S3 = 1 if A <B, A = B Gg = S, = 0. Design the
composite circuit of F so that it works with F to compare two
numbers of 4 bits, A. B, as the bits with the lowest value as
above.
A 2: Ag. B; en düşük değerlikli bitler...
Matrix Algebra
3. indicated sums and products are defined. Mark each statement True of False. Justify each The following questions concern arbitrary matrices A, B, and C for which the answer (a) If A and B are 2 x 2 matrices with columns ai, a2 and bi, b2, respectively, thern 101 a2b2] (b) Each column of AB is a linear combination of the columns of B using weights from the corresponding column of A. (c) AB + AC-A(B +C (d)...
a) Let I be the n x n identity matrix and let O be the n × n zero matrix . Suppose A is an n × n matrix such that A3 = 0. Show that I + A is invertible and that (I + A)-1 = I – A+ A2. b) Let B and C be n x n matrices. Assume that the product BC is invertible. Show that B and C are both invertible.
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