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Determine if y is in the subspace of R4 spanned by the columns of A. -7...
Determine if y is in the subspace of R4 spanned by the columns of A. -5 17 -8 -3 9 5-7 - 8 = ... A 5 -3-8 2 1 -1 - 7 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. 8 O A. The vectory is in the subspace spanned by the columns of A because y can be written as a linear combination of these columns as follows. 17...
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...
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
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.)...
6.3.9 Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector orthogonal to W. O w W y= (Type an integer or simplified fraction for each matrix element.)
Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector orthogonal to W. 1 -1 6 u u2 6 1 1 4 1 y= (Type an integer or simplified fraction for each matrix element.)
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.
For the graph of a function y = f(x) shown to the right, find the absolute maximum and the absolute minimum, if they exist. Identify any local maxima or local minima. Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute maximum of y= f(x) is f(_______ ) = _______ (Type integers or simplified fractions.) B. There is no absolute maximum for y = f(x). For the graph of a function y = f(x) shown...
Compute the product using (a) the definition where Ax is the linear combination of the columns of A using the corresponding entries in x as weights, and (b) the row-vector rule for computing Ax. If a product is undefined, explain why. 1 2 - 3 -3 1 1 3 (a) Set up the linear combination of the columns of A using the corresponding entries in x as weights. Select the correct choice below and, if necessary, fill in any answer...