To this we add 4 times first row to second one.
This reduces to row reduced form. Since second row is zero, there are free variables. Hence the colums of A are linearly dependent.
1 Let A= 8 We want to determine if the columns of matrix A and are...
please write it claerly mat210ssze / 5.1 subspaces and spanning/4 TDanso 5.1 Subspaces and Spanning: Problem 4 Previous Problem List Next (1 point) 2 8 -4 Let A -2 -11 7 -3 -11 5 We want to determine if the columns of A span R. times the first row to the second. To check this we add 2/11 times the first row to the third. We then add 3/2 We then add times the new second row to the new...
Determine if the columns of the matrix form a linearly independent set. 1 2 - 3 8 12 37 -6 38 - 1 -8 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 [ A o]is | The columns are linearly independent because the reduced row echelon form of [ A 0 ] is B.
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
Let u = and v= Determine whether the vectors u and v are linearly independent or linearly dependent, and choose the most correct answer below. A. The vectors are linearly independent. B. We cannot easily tell whether the vectors are linearly independent or linearly dependent. C. The vectors are linearly dependent.
Let A be a 5 x 3 matrix whose columns are linearly independent. Prove: If B is an invertible 3 x 3 matrix, then the columns of AB are linearly independent. Let A be a 5 x 3 matrix whose columns are linearly independent. Prove: If B is an invertible 3 x 3 matrix, then the columns of AB are linearly independent.
2 invertible? C For which values of c is the matrix 8 O c 4 c =-4 Both of the above, i.e., c +4 Neither of the above, i.e., c +4. Suppose that the following row operations: interchange rows 1 and 3 multiply row 3 by 1/2 add -3 times row 1 to row 2 2 1 7 in this order, transform a matrix A into B = | 0 4-5 L0 0 3 What is the determinant of A?...
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...
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...
Functions can be thought of as elements of a vector space. When we have two functions, we will make a 2x2 matrix of functions here the first row is the original functions and the second row are the first derivatives of the original functions. With three functions, we have two more rows, the first derivatives in row two and the second derivatives in row three. The matrix form is called the Wronskian. If you take the determinant and it is...
Let A be an 3 x 4 matrix, and B an 4 x 3 matrix. Prove: If AB Is, then the columns of B are linearly independent. Let A be an 3 x 4 matrix, and B an 4 x 3 matrix. Prove: If AB Is, then the columns of B are linearly independent.