Determinant in Matlab PDF

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MATLAB ACTIVITY 4 – Determinant Using MATLAB A. Use the det( ) built-in function to find the determinants of the following matrices. Write the MATLAB SYNTAX you used and MATLAB out put on the space provided

−1

1.

1 1 A = −1 −1 1 1 1 −1

2.

7 6 A= 5 4

6 5 4 3

5 4 3 2

4 3 2 1

det A = 0

det A = 0

3.

1 2 0    If is A = 3 4 0  create a matrix B whose entries are three times the difference of an identity matrix of 0 0 5  order 3 and matrix A. What are the entries in B and its determinant? B=[0 -6 0;-9 -9 0;0 0 -12] determinant of B=648

4.

1 2  3 4

Create matrix C if possible . Use C = 5 * eye (size ( A) − A)^ 2 , where A =  30;45 75] and determinant of C=900.0000

then matrix is C= [30

5.

 0 1 1 D = transpose( A) * A , where A =  0 1 0 then D= [2 1 1;1 1 0;1 0 2] and determinant of D=1    1 0 1

B. Use MATLAB SYNTAX solve the given problems below. Write the MATLAB syntax you use and the MATLAB output in the space provided. 1. Use Cramer’s Rule to show the solution of

-8x - 12y = 24 7/8x + 5/9y = -1

SS=[6,-6} 2.

Find the volume of the given figure

36000 cubic units

3.

Mr. Cruz would like to buy a lot however, his broker gave the dimension of the lot using the vertices (0, 4), (0,-2) (20, 4) and (10, -2). What would be the total area of the lot that Mr. Cruz will be buying?

90 sq. units...