0 Question 7 Using MATLAB find the 3 x 3 matrix A such that applying the row operations i), ii) , iii) take A to reduced row echelon form U. Assume that the matrix 1 0 1 in reduced row echelon form is U = 0 0 The operations are: i) Add 10 times row 1 to row 3 ii) Multiply row 2 by the scalar 2 iii) Add 5 times row 2 to row 1 You should find the matrix A and then compute its trace tr(A) (sum of the three diagonal entries ). Hint: you may want to take a look at the solution to the Feb 3 lecture quiz where a similar problem is addressed. Note that each operation i), ii), iii) corresponds to a matrix. You can enter those matrices and U to MATLAB to use them to calculate A. The trace can be computed with the command sum(diag(A)) or by hand once you have A. TRACE OF A=20 TRACE OF A=43 TRACE OF A=10 TRACE OF A=2 0 Question 7 Using MATLAB find the 3 x 3 matrix A such that applying the row operations i), ii) , iii) take A to reduced row echelon form U. Assume that the matrix 1 0 1 in reduced row echelon form is U = 0 0 The operations are: i) Add 10 times row 1 to row 3 ii) Multiply row 2 by the scalar 2 iii) Add 5 times row 2 to row 1 You should find the matrix A and then compute its trace tr(A) (sum of the three diagonal entries ). Hint: you may want to take a look at the solution to the Feb 3 lecture quiz where a similar problem is addressed. Note that each operation i), ii), iii) corresponds to a matrix. You can enter those matrices and U to MATLAB to use them to calculate A. The trace can be computed with the command sum(diag(A)) or by hand once you have A. TRACE OF A=20 TRACE OF A=43 TRACE OF A=10 TRACE OF A=2