Only B and C
Math 301:3 Problem Set 2 1. Reduce the following matrices to row-echelon form, and then to reduced row-echelon form. 2 3 -11 20 1 1-3 3 1 5 5 9 -1 30 14 1 -3 0 0 -1 2 -6 2 4 0 0134
Can you please answer that question for B and C as well
Determine which matrices are in reduced echelon form and which others are only in echelon form. 1 5 0 0 1 0 1 1 0 0 0 L 0 0 1 0 C. b. 0 1 1 1 0 6 0 0 а. 0 0 0 0 0 0 0 0 0 0 1 0 0 0 Is matrix a in reduced echelon form, echelon form only, or...
Thanx in advance.
Problem 5: For the following matrices, use MATLAB to find the rank and the Row Reduced Echelon Form (RREF) of each of the following matrices. Verify your answers by solving the question by hand. 0-1 1 -2 b) B c) C-2 2 -2 0 -1 3 3 2
Problem 5: For the following matrices, use MATLAB to find the rank and the Row Reduced Echelon Form (RREF) of each of the following matrices. Verify your answers by...
3. (Auqmented Matrices, Reduced Row BEchelon Form). In each of the following, the augmented matrix is in reduced row echelon form. In each case, find the solution set to the corresponding linear system. 1 0 010 1-10 0-5 11 0-9 o) o1 0 (ii). 01 -6 (008 1 -59 0| 2 0 1 0-7 17 0318 (iv)o o 1 9 -5 00 1-2 (v)0 00 0(vi). 1
Linear Algebra
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[1 1 -2 37 1-1 Let A= 0 1 1 1 Lo 0 0 1] [2 a. Is A in row-echelon form, reduced row-echelon form, neither or both? Explain your response in a full sentence. (3 pts) b. Give the solution to the system Ax = b. Format counts. (5 pts) C. What is the dimension of the solution space? Why? (3 pts) d. Is the system consistent for all 3 x 1 matrices b? Why or...
1 2 0 1 10. Let A = 2 3 1 1 3 5 1 2 (a). Find the reduced row echelon form of A. (b). Using the answer for (a), find rank(A), and find a basis for Col(A). (c). Using the answer for (a), find a basis for Nul(A).
1. Each of the following matrices is in reduced row echelon form. Write the solution for each. (1000 a. o 100 Loo 011 oo 581 b. 010- 32 Lool 61-7 (1 20 4 097 c. 0 0 1 -3 0 12 Loooo 115 2. State whether or not each matrix is in reduced echelon form. If a matrix is not in reduced echelon form, explain why it is not. a [1 0 0 0 87 0 1 2 0 2...
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Write the following matrices in RREF (reduced row-echelon form): (a) (5 pts) 1 2 3
1. Consider the following matrix and its reduced row echelon form [1 0 3 3 5 187 [1 0 3 3 0 37 1 1 5 4 1 10 0 1 2 1 0 - A=1 4 1 0 3 3 -1 0 rref(A) = 10 0 0 0 1 3 2 0 6 6 -1 3 | 0 0 0 0 0 0 (a) Find a basis of row(A), the row space of A. (b) What is the dimension...
1. Consider the following matrices. A= 1 2 -1 0 3 4 B 2 3-4 5 1 and C= -[-1:] Compute each of the following, if it is defined. If an expression is undefined, explain why. (a) (4 points) A+B (b) (4 points) 2B (c) (4 points) AC (d) (4 points) CB