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Determine if the columns of the matrix form a linearly independent set. 1 2 - 3...
Determine if the columns of the matrix form a linearly independent set. 1 2-3 1 2 5 - 4 -2 - 14 2 7 2 Select the correct choice below and fill in the answer box to complete your choice. A. The columns are not linearly independent because the reduced row echelon form of is A 0 B. The columns are linearly independent because the reduced row echelon form ofA 0 is
Determine if the columns of the matrix form a linearly independent set. Justify your answer. -2 -1 01 0 - 1 3 1 1 -6 2 1 - 12 Select the correct choice below and fill in the answer box within your choice. (Type an integer or simplified fraction for each matrix element.) O A. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon form of this matrix indicates that...
I want to know how to solve this problem step by step. 31.7.7 Determine if the columns of the matrix form a linearly independent set 13 -3 4 273 -1 28 3-19 Select the correct choice below and fill in the answer box to complete your choice 100 50 The columns are not linearly independent because the reduced row echelon form of T A o is 0 10 0 0 0 0 1 3 0 o B. The columns are...
IT a) If one row in an echelon form for an augmented matrix is [o 0 5 o 0 b) A vector bis a linear combination of the columns of a matrix A if and only if the c) The solution set of Ai-b is the set of all vectors of the formu +vh d) The columns of a matrix A are linearly independent if the equation A 0has If A and Bare invertible nxn matrices then A- B-'is the...
-3 5 7 8 Let8 and A o 2 -2Is u in the subset of R3 spanned by the columns of A? Why or why not? -9 1 3 0 Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal for each matrix element.) 0 A. O B. Yes, multiplying A by the vector writes u as a linear combination of the columns of A. No, the reduced row echelon...
6201-16000-MATH-2318 Afeez Amusan & Time Remaining: Quiz: Quiz 2 (1.3, 1.4), Part 1 This Question: 7 pts 11 of 17 (7 complete) This Vocan each vector in R* be written as a linear combination of the columns of the matrix A? Do the columns of A span R7 24 -7 16 - 1 - 1 1 - 3 0 -6 15 -30 ² 0 3 6 1 1 Can each vector in R4 be written as a linear combination of...
1 Let A= 8 We want to determine if the columns of matrix A and are linearly independent. To do that we row reduce A To do this we add times the first row to the second. We conclude that A. The columns of A are linearly dependent. O B. The columns of A are linearly independent. O C. We cannot tell if the columns of A are linearly independent or not.
ǐ Question He. Determine whether the given functions are linearly dependent or linearly independent on the specified interval Justify your decision Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The functions are Iinearly dependent because for constant values,e, and cy, the equation cye S .r has the solution c, and c O B. The functions are linearly independent beceuse there are no constant values,e, and eg, that make the...
If a matrix is in reduced form, say so. If not, explain why and indicate a row operation that completes the next step of Gauss-Jordar elimination. 1 0 6 4 0 1-65 0-3 40 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The matrix is in reduced form. B. The matrix is not in reduced form. The next step is to add row 1 to row 2. OC. The matrix...
747-38 1026 59% webwork.math.mcgill.ca Problem 5 linearly dependent linearly dependent At least one of the answers above is NOT correct. 15 o to O- 40 (1 point) Let Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 15 B = 12 1-6 -9 -4 3 -101 -8 4 ] (a) Find the reduced row echelon form of the matrix B mref(B) = (b) How many...