Please find the answers corresponding to your first image.
In your second image, W should be defined. Without knowing the value of "W", I can't solve the question from second image. Please rate the provided solution. Thanking you.
Linear Algebra -3 1. Let y=| 2 | and 1-1 I. (a) (8 pts) Find projuy...
Q8. (a) Let y = [4, 8) and u = [3,1]. Write y as the sum of a vector in span{u} and a vector orthogonal to u. (b) Show that if U and V are n x n orthogonal matrices, then so is UV.
Please help and explain everything! thanks in advance Math 221 Review Linear Algebra II Review 1) In Rº find three distinct non-zero vectors x,y,z which belong to the span of a = -18,-14, 26) B) In dimension of Rº find three distinct non-zero vectors x,y,z, no two of which are parallel to each other, and which belong to the span of a = (17.-5.-15)and b = (21, -3, -17) C) in R solve for a nonzero vector b in the...
linear algebra Let V (71, 72, 3}, where 71 73=(2,0,3). (1,3,-1), 2 = (0, 1,4), and (a) Prove: V is a basis. (b) Find the coordinates of (b, b2, bs) with respect to V = {71, U2, 3,}. (c) Suppose M and M' are matrices whose columns span the same vector space V. Let b be the coordinates of relative to M. Write a matrix equation that gives b', the coordinates of relative to M'. (Your answer should be a...
Need help with these linear algebra problems. Let TARS - R* be the linear transformation with standard matrix A A= 11 2 1 4 2 4 2 8 2 1 | 2 3 3 12 3 6 5 9 1. Find a basis of the column space of A. 2. Find a basis of the null space of A. 3. The range of T, is a 4. Is the vector a in the range of TA? Support your answer. 70...
7. Let W = Span{x1, x2}, where x1 = [1 2 4]" and X2 – [5 5 5]" a. (4 pts) Construct an orthogonal basis {V1, V2} for W. b. (4 pts) Compute the orthogonal projection of y = [0 1]' onto W. C. (2 pts) Write a vector V3 such that {V1, V2, V3} is an orthogonal basis for R", where vi and v2 are the vectors computed in (a).
Q8. (a) Let y (4,8) and u = (3,1). Write y as the sum of a vector in span{u} and a vector orthogonal to u. (b) Show that if U and V are n x n orthogonal matrices, then so is UV.
Linear Algebra Problem! 1. Let U be the subspace of R3 given by 11 + 12 - 213 = 0. for U. Justify that is an ordered basis. What is the a) Find an ordered basis dimension of U? b) Let ū= (1,1,1). Show that ✓ EU and find the B-coordinate vector (Ū3 = C:(Ū), where Ce: U + R2 is the B-coordinate transformation.
advanced linear algebra thxxxxxxxx Consider the complex vector space P4(C) of polynomials of degree at most 4 with coeffi- cients in C, equipped with the inner product ⟨ , ⟩ defined by 5. Consider the complex vector space P4(C) of polynomials of degree at most 4 with coeffi- cients in C, equipped with the inner product (, ) defined by (f, g)fx)g(xJdx. (a) Find an orthogonal basis of the subspace Pi(C)span,x (b) Find the element of Pi (C) that is...
linear algebra Let T: R2 R2 be a reflection in the line y = -x. Find the image of each vector. (a) (-3,9) (b) (5, -1) (c) (a,0) (d) (o, b) (e) ( ed) (f) (9)
I need some help with these true false questions for linear algebra: a. If Ais a 4 x 3 matrix with rank 3, then the equation Ax = 0 has a unique solution. T or F? b. If a linear map f: R^n goes to R^n has nullity 0, then it is onto. T or F? c. If V = span{v1, v2, v3,} is a 3-dimensional vector space, then {v1, v2, v3} is a basis for V. T or F?...