Please write the answer to the following problems and upload the answer in one pdf e ster you finish and submit this final (12 points) Lett be a linear transformation as follows: 2 + 1 - 2 + 2 + 2r 2017 - 2 + 1 + 2 Cal. Find standard matrix representation of (h. Find a basis of Col(A). tel. Find a basis of Null(A) d) Is T 1-17 Is Tonto? Please write the answer to uploading problems including...
Please write the answer to all 4 uploading problems including this one on the paper and upload the answer in one pdf file after you finish and submit this final, (10 points) Let A - [12 - :) Find A 100 (Hint: when you're picking the linearly independent eigenvectors to form the matrix P. you could pick the eigerwectors that have all integer entries. e.g. instead of you can pick * []). The computation will be largely simplified if you...
Question 4 11 pts Each blank is point) 0 Let A 0 0 3 tal. Find (A) where A, means A, with = 2 (b). For what value of xis A, + I not invertible? or (Please fill it in from small to large for this two blank).
Please write the answer to all & uploading problems including this one on the paper and upload the answer in one pdf file after you finish and submit this final 19 points) Let ü - (.:-( Recall that each vector correspond to a point in R' (a). (3 points) Show that the triangle with vertices o, u, jis a equilateral triangle (ie, a triangle with equal-length sides). What is the length of the three sides? (Hint: the third side can...
(1 point) Let A = -3 -1 6 -4 0 6 -2 -1 5 If possible, find an invertible matrix P so that D = P-1 AP is a diagonal matrix. If it is not possible, enter the identity matrix for P and the matrix A for D. You must enter a number in every answer blank for the answer evaluator to work properly. P= D= Is A diagonalizable over R? choose Be sure you can explain why or why...
29&30 please 3 -23 4 3-2 25. 3 4926. |0 1 1 0 0-2 1 2-5 Finding a Basis In Exercises 27-30, find a basis B for the domain of T such that the matrix for T relative to B is diagonal. 27. T: R2→R-T(x, y) = (x + y, x + y) 28. T: R3→R, Tu, y, z) (-2x +2y -3z, 2r y -6z. 2y) a + (af+ 2b)s 29. T: Pi-Pi T(a + bx) 30. T: P㈠Pg Tle...
(1 point) Let 3 -4 A = -4 -1 -4 -2 -2 If possible, find an invertible matrix P so that D = P-1 AP is a diagonal matrix. If it is not possible, enter the identity matrix for P and the matrix A for D. You must enter a number in every answer blank for the answer evaluator to work properly. P= II II D= Be sure you can explain why or why Is A diagonalizable over R? diagonalizable...
Let A = 4 0 0 2 1 2 1 2 1 (a)(4 marks) Find the eigenvalues of A. (b)(2 marks) Explain without any more calculations that A is diagonalisable. ((7 marks) Find three linearly independent eigenvectors of the matrix A. (d)(2 marks) Write an invertible matrix P such that -100 P-AP=0 40 0 0 3
Let A be the matrix To 1 0] A= -4 4 0 1-2 0 1 (a) Find the eigenvalues and eigenvectors of A. (b) Find the algebraic multiplicity an, and the geometric multiplicity, g, of each eigenvalue. (c) For one of the eigenvalues you should have gi < az. (If not, redo the preceding parts!) Find a generalized eigenvector for this eigenvalue. (d) Verify that the eigenvectors and generalized eigenvectors are all linearly independent. (e) Find a fundamental set of...
could u help me for this one?? 14. For it is given that 1-2 is an invertible matrix such that 1 0 01 AQ A-2 0 0 0 1 0] Let A ((1. 2,0), (0,0, D), (0,0, 0)). Find a basis B of R3 such that the m transition from B to A is matrix of 10 01 D2-0 1 0 and an invertible P such that PAQ D2. (Hint: See the proof of Theorem 3.46.) 15. For each matrix...