Problem 5: (10 points) Let A be a 5 x 7 matrix, and let B denote the reduced row echelon form of A. Which of the followi
Posted: Thu Jun 30, 2022 7:40 pm
- Problem 5 10 Points Let A Be A 5 X 7 Matrix And Let B Denote The Reduced Row Echelon Form Of A Which Of The Followi 1 (22.09 KiB) Viewed 42 times
My submission is about to end. Why you take too much time. That's not so hard. Please hurry up
For mcq, you take too much time. Just think that's a live session and no one has too much time for it. And you don't give answer yet. I will wait for a moment now and if there will be nothing, then I will remove my question and no need then.
Problem 5: (10 points) Let A be a 5 x 7 matrix, and let B denote the reduced row echelon form of A. Which of the following statements is TRUE? A. If the number of nonzero rows of B equals 4, then the number of non-zero columns of B equals 4. B. If the columns 1, 2, 5, 6 of B have leading 1's, then the columns 1, 2, 5, 6 of A span R¹. C. If the number of nonzero rows of B equals 4, then one can pick 4 columns of A that form a basis of the column space of A. D. If B has 4 leading 1's, the dimension of the null space of A is 3 and therefore Nul(A) = R³. E. None of the above.
Problem 3: (10 points) Let A be an n x n invertible matrix, which of the following state- ments is/are always true. (i) Az = 0 has at least one nontrivial solution. (ii) A is row equivalent to In (iii) The columns of A form a basis for R". (iv) Any b in R" is in the column space of A. A. (i) only. B. (ii) and (iii) only. C. (i), (ii) and (iii) only. D. (ii), (iii) and (iv) only. E. All the statements are true. 5/13 ●●● ●●●