Let A be the following 10 times 12 matrix. [1 - 1 0 2 1 3 1 2 1 1 1 1 1 1 2 0 1

Question

Let A be the following 10 times 12 matrix. [1 - 1 0 2 1 3 1 2 1 1 1 1 1 1 2 0 1 1 - 1 2 1 - 2 1 1 1 - 1 0 2 - 1 1 - 1 0 - 1 2 1 - 1 1 - 1 0 2 1 3 - 1 2 1 3 2 1 1 1 2 0 - 1 - 1 - 2 1 1 1 0 1 1 2 0 0 0 - 1 1 2 1 1 1 1 - 1 0 2 0 2 2 0 2 1 - 2 1 1 - 1 0 2 1 3 0 3 2 1 - 1 1] Use computer program (MATLAB, Mathematica, online calculators) to find the reduced row echelon form of A and A^T and write it down. (ii) Verify that rank (A) rank (A^T). (ii) Find the dimension of Im (A), Im(A^T), ker(A) and ker (A^T).

Explanation / Answer

%to get reduced row echoleon form funtion rref is used in matlab
i)R = rref(A)
%to find transpose of matrix A we can use transpose keyword or simply A.`
At = A.'
R1=rref(At)
%to find rak of matric simply we have rank(A) fucntion
RankA=rank(A)
RankAt-rank(At)
matlab code:
A=input('Enter the matrix')
RankA=rank(A);
RankAt-rank(At);
if (RankA==RankAt)
disp('The ranks of A and A transpode are equal');
end

Related Questions

Navigate

• Browse (All)
• Browse L
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.