Homework Answers
to create the matrix A
>>A= [ -4 5 2;-2 3 1;2 4 -2]
to find determinant of A
>>d=det(A)
to find inverse of A
>>inv(A)
if B is another 3*3 matrix,then cross product is
>>cross(A,B)
the determinant of is 2
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Exercise 3 Say you have a variable, A, which is a 3-by-3 matrix you've created. Use...
1. For a matrix 5 9 6 (1) Use Matlab command to calculate the transpose matrix...
1. For a matrix 5 9 6 (1) Use Matlab command to calculate the transpose matrix (2) Use Matlab to calculate the determinant of the matrix (3) Justify if the matrix has the inverse matrix and use Matlab to calculate the inverse Matrix (4) Use Matlab to calculate the eignvalues and eignvectors of the Matrix
In this exercise you will work with LU factorization of an matrix A. Theory: Any matrix A can be ...
In this exercise you will work with LU factorization of an matrix A. Theory: Any matrix A can be reduced to an echelon form by using only row replacement and row interchanging operations. Row interchanging is almost always necessary for a computer realization because it reduces the round off errors in calculations - this strategy in computer calculation is called partial pivoting, which refers to selecting for a pivot the largest by absolute value entry in a column. The MATLAB...
1. Suppose you have created a vector x in R using the command x <-c(2, 7,...
1. Suppose you have created a vector x in R using the command x <-c(2, 7, 3, 1, 9) . Please find the results for the following commands (2) xlc(1,3,5)] (3) x [2:4] (5) length(x) (6) x [2: length(x)1 (7) x[1: length(x)-1] (8) max(x) (9) min(x) 2. Besides the vector x in question 1, suppose you have created another vector y in R using the command y <- c(1, 2, 3, 4, 5). Please find the results for the following...
Problem #2: Consider the following vectors, which you can copy and paste directly into Matlab. x=[3 4 4 3 5 5 1 2 3...
Problem #2: Consider the following vectors, which you can copy and paste directly into Matlab. x=[3 4 4 3 5 5 1 2 32); y [2 4 4622 4 2 4] Use the vectors x and y to create the following matrix. 3 2 0 0 0 0 0 0 0 o Such a matrix is called a tri-diagonal matrix. Hint: Use the diag command three times, and then add the resulting matrices. To check that you have correctly created...
Use MATLAB program to answer the following questions. Copy the MATLAB code and the results from running the code 6. Find...
Use MATLAB program to answer the following questions. Copy the
MATLAB code and the results from running the code
6. Find the determinant and inverse of the following 4 x 4 matrix 3 5 -2 6 2-1 A=11
6. Find the determinant and inverse of the following 4 x 4 matrix 3 5 -2 6 2-1 A=11
in matlab 6. Create a big matrix with submatrices: The following matrix G is created by inserting the matrices A, B, an...
in matlab
6. Create a big matrix with submatrices: The following matrix G is created by inserting the matrices A, B, and C from Exercise 3, together with zero matrices and 2 x 2 identity AY NOT llr SIIAIut. UMOADIT, SOLD Og1 DISTIunUTII》 THIS CONTENT IS PROTECTED AND M 019 2 CopprightQ Schoall of Mathercatical and Statistical Sceom Ariaona State Cniseesity matrices in the appropriate position. Create the matrix using submatrioes A, B, C, zeros and eye (that is, you...
Exercise 1: Use Matlab command to obtain the following a) Extract the fourth row of the...
Exercise 1: Use Matlab command to obtain the following a) Extract the fourth row of the matrix generated by magic(6) b) Show the results of 'x' multiply by 'y' and 'y' divides by 'x'. Given x = [0:0.1:1.1] and y=[10:21] c) Generate random matrix 'r' of size 4 by 5 with number varying between -8 and 9 Exercise 2: Use MATLAB commands to get exactly as the figure shown below x=pi/2:pi/10:2*pi; y=sin(x); z=cos (x);
Problem 1 Consider the matrix Problem 1 Consider the matriz a 2 5 3 11 08...
Problem 1 Consider the matrix Problem 1 Consider the matriz a 2 5 3 11 08 a Find the cofactors C11,C2,C3 of A. b Find the determinant of 1, det(A) [ 2 4 61 Problem 2 Consider the matriz A=008 | 2 5 3 a Use the ero's to put A in upper triangular form 5 Pinul the determinant of A. (A) by keeping track of the row operations in part a and the properties of determinant Problem 3 Consider...
In this exercise, you will work with a QR factorization of an mxn matrix. We will proceed in the ...
In this exercise, you will work with a QR factorization of an mxn matrix. We will proceed in the way that is chosen by MATLAB, which is different from the textbook presentation. An mxn matrix A can be presented as a product of a unitary (or orthogonal) mxm matrix Q and an upper-triangular m × n matrix R, that is, A = Q * R . Theory: a square mxm matrix Q is called unitary (or orthogona) if -,or equivalently,...
I have created a function (lets call it function A) in MATLAB that uses 'for loop'...
I have created a function (lets call it function A) in MATLAB that uses 'for loop' to create a 3*4 matrix. I am creating another MATLAB function (lets call it function B) that has absolutely no relation with function A but needs to use the matrix from function A. How do I call only the matrix from function A to function B such that as this matrix changes in function A it triggers corresponding changes in function B as well?...
1. For a matrix 5 9 6 (1) Use Matlab command to calculate the transpose matrix (2) Use Matlab to calculate the determinant of the matrix (3) Justify if the matrix has the inverse matrix and use Matlab to calculate the inverse Matrix (4) Use Matlab to calculate the eignvalues and eignvectors of the Matrix
1. Suppose you have created a vector x in R using the command x <-c(2, 7, 3, 1, 9) . Please find the results for the following commands (2) xlc(1,3,5)] (3) x [2:4] (5) length(x) (6) x [2: length(x)1 (7) x[1: length(x)-1] (8) max(x) (9) min(x) 2. Besides the vector x in question 1, suppose you have created another vector y in R using the command y <- c(1, 2, 3, 4, 5). Please find the results for the following...
Problem #2: Consider the following vectors, which you can copy and paste directly into Matlab. x=[3 4 4 3 5 5 1 2 32); y [2 4 4622 4 2 4] Use the vectors x and y to create the following matrix. 3 2 0 0 0 0 0 0 0 o Such a matrix is called a tri-diagonal matrix. Hint: Use the diag command three times, and then add the resulting matrices. To check that you have correctly created...
Use MATLAB program to answer the following questions. Copy the
MATLAB code and the results from running the code
6. Find the determinant and inverse of the following 4 x 4 matrix 3 5 -2 6 2-1 A=11
6. Find the determinant and inverse of the following 4 x 4 matrix 3 5 -2 6 2-1 A=11
in matlab
6. Create a big matrix with submatrices: The following matrix G is created by inserting the matrices A, B, and C from Exercise 3, together with zero matrices and 2 x 2 identity AY NOT llr SIIAIut. UMOADIT, SOLD Og1 DISTIunUTII》 THIS CONTENT IS PROTECTED AND M 019 2 CopprightQ Schoall of Mathercatical and Statistical Sceom Ariaona State Cniseesity matrices in the appropriate position. Create the matrix using submatrioes A, B, C, zeros and eye (that is, you...
Exercise 1: Use Matlab command to obtain the following a) Extract the fourth row of the matrix generated by magic(6) b) Show the results of 'x' multiply by 'y' and 'y' divides by 'x'. Given x = [0:0.1:1.1] and y=[10:21] c) Generate random matrix 'r' of size 4 by 5 with number varying between -8 and 9 Exercise 2: Use MATLAB commands to get exactly as the figure shown below x=pi/2:pi/10:2*pi; y=sin(x); z=cos (x);
Problem 1 Consider the matrix Problem 1 Consider the matriz a 2 5 3 11 08 a Find the cofactors C11,C2,C3 of A. b Find the determinant of 1, det(A) [ 2 4 61 Problem 2 Consider the matriz A=008 | 2 5 3 a Use the ero's to put A in upper triangular form 5 Pinul the determinant of A. (A) by keeping track of the row operations in part a and the properties of determinant Problem 3 Consider...
In this exercise, you will work with a QR factorization of an mxn matrix. We will proceed in the way that is chosen by MATLAB, which is different from the textbook presentation. An mxn matrix A can be presented as a product of a unitary (or orthogonal) mxm matrix Q and an upper-triangular m × n matrix R, that is, A = Q * R . Theory: a square mxm matrix Q is called unitary (or orthogona) if -,or equivalently,...
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