Create a script file*** called Lecture_2A in which you complete these exercises.

Question

Create a script file*** called Lecture_2A in which you complete these exercises. Define the following matrices: A = [2 9 0 0 b = [1 a = [4 20 29 21] Calculate the following (when defined): a. A*b b. a + 4 c. b*a d. a*b^T e. A*a^T Explain any differences between the answers that MATLAB gives you when you calculate A*A, A^2, and A.^2. What is the command that isolates the submatrix that only contains the 1^st and 2^nd of matrix A. Solve the linear system Ax = b for x. Check your answer by multiplication.

Explanation / Answer

A=[2 9 0 0
1 3 8 11
6 4 2 7
2 6 5 19];
b=[1
2
8
5];
a=[4 20 29 21];

ans1=A*b;
ans2=a+4;
ans3=b*a;
B = transpose(b); %%taking transpose
C=transpose(a);
%ans4=a*B;
ans5=A*C;   
ans6=A*A;
ans7=A^2;
ans8=A.^2;

ans9=A([1 2],[1 2 3 4]); % taking 1 and 2 row and 1 2 3 4 colmn

ans10= mldivide(A,b); %mldivide solve ax=b type of equation

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