Determine if y is in the subspace of R4 spanned by the columns of A. -5...
Determine if y is in the subspace of R4 spanned by the columns of A. -7 w 9 6-7 T-9-9 3 | 10 -2 -8 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The vector y is in the subspace spanned by the columns of A because y can be written as a linear combination of these columns as follows. (Type integers or simplified fractions.) OB. The vector y...
Show that w is in the subspace of R4 spanned by vy. Vz, and v3, where these vectors are defined as follows 2 -4 w= 5 V21 - 2 -4 17 To show that w is in the subspace, express was a linear combination of v. Vz, and V3 The vector w is in the subspace spanned by V, V2, and Vy. It is given by the formula w= (O) v * (IDv. O (Simplify your answers. Type integers or...
O A. The absolute maximum of y = f(x) is f (Type integers or simplified fractions.) OB. There is no absolute maximum for y=f(x). Select the correct answer below and, if necessary, fill in the answer boxes to completelyour choice. O A. The absolute minimum of y=f(x) is f (Type integers or simplified fractions.) OB. There is no absolute minimum for y=f(x). Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. O...
Problem #8: Find a basis for the orthogonal complement of the subspace of R4 spanned by the following vectors. v1 = (1,-1,4,7), v2 = (2,-1,3,6), v3 = (-1,2,-9, -15) The required basis can be written in the form {(x, y, 1,0), (2,w,0,1)}. Enter the values of x, y, z, and w (in that order) into the answer box below, separated with commas.
(5 points) Let 5 -4 v= 1-3 -3 and let W the subspace of R4 spanned by ū and 7. Find a basis of W?, the orthogonal complement of W in R4.
5/9/2019 the closest point to y in the subspace W spanned by u, and u Let W be the subspace spanned by 11. and u2. Write y as the sum of a vector in W and a vector orthogonal to w u, 12 13)- 12 25 3 5 6-5 | and b = | 4 l. Describe the general solution in parametric Describe all solutions of Ax = b, where A-1-2 -4 7 0 vector form
Solve using matrices y=x+Z 3y + 8z = 7 X + 7 = y + 6z Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. There is one solution. The solution is (Z17D. (Type integers or simplified fractions.) OB. There are infinitely many solutions. The solutions are (C).2), where z is any real number (Type expressions using z as the variable.) OC. There is no solution
Let W be the subspace spanned by ui and u2, and write y as the sum of a vector vi in Wand a vector v2 orthogonal to w -4 -8 NOTE: You should fill in all the boxes below before submitting. Both vectors are to be submitted at once. Answers can be entered as numerical formulae, or rounded to 3 decimal places. You may use a calculator for the arithmetic operations
0/1 points Previous Answers LARLINALG8 4.6.020. Find a basis for the subspace of R4 spanned by S. S = {(2,5, -3, -3), (-2, -3, 2, -4), (1, 3, -2, 3), (-1, -5, 3, 4)}
Solve the following system of equations. X+ y+ z- w = 4 3x + y- z+ w = 10 x- 4y + 32+ w = -5 -x- y+ 2+ 4w = 4 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. There is one solution. The solution is ). (Type integers or simplified fractions.) O B. There are infinitely many solutions. The solutions are ( (Type integers or simplified fractions.)...