a b с The matrix A= has a determinant of 6. d f g h 6 k (a) What is the determinant of the matrix B= 3d 29 -6f] За 2c -6b? 3h 2k -61 List the row & column 'operations' that were performed on A to produce B and state what each of these 'operations' does to the determinant. 3d (b) What is the determinant of the matrix C = 2a 39 2c 6k 3f 26 -6j -6h Explain...
Tk 1 21 5 -5 k (a) Find the determinant of A in terms of k (b) For which value(s) of k is the matrix A invertible? (c) Let B-(k,1,2,0), (0, k, 2,0),(5,-5, k,0)) be a set of vectors in R4, and let k equal some answer you gave for part (b) of this question. Add an appropriate number of vectors to B so that the resulting set is a basis for R' Tk 1 21 5 -5 k (a)...
I need 6(d),7(a) (b) (c) (d). Thank you in case you can't see the pics. (a) the NSA 16) (5 ) F o r the RSA SA (d) (5 ) etc) formo CSA) has this w o rth with the RExplain 7. Determine whether each wat is either trofale. If we give justification known fact if Cae, give a comer example (a) (4 points) 2. are vectors of a subpace W of R", then so are all vectors of Span(2.57...
s={(8.60) :) :) is a basis of M3x2(R)? (d) (1 point) The set = {(1 9:(. :) : 6 1) (1 1) (1 :) :()} is linearly independent. (e) (1 point) For a linear transformation A:R" + Rd the dimension of the nullspace is larger than d. (f) (1 points) Let AC M4x4 be a diagonal matrix. A is similar to a matrix A which has eigenvalues 1,2,3 with algebraic multiplicities 1,2, 1 and geometric multiplicities 1,1, 1 respectively. 8....
Hi, could you post solutions to the following questions. Thanks. 2. (a) Let V be a vector space on R. Give the definition of a subspace W of V 2% (b) For each of the following subsets of IR3 state whether they are subepaces of R3 or not by clearly explaining your answer. 2% 2% (c) Consider the map F : R2 → R3 defined by for any z = (zi,Z2) E R2. 3% 3% 3% 3% i. Show that...
1. For each of the following regression models, write down the X matrix and 3 vector. Assume in both cases that there are four observations (a) Y BoB1X1 + B2X1X2 (b) log Y Bo B1XiB2X2+ 2. For each of the following regression models, write down the X matrix and vector. Assume in both cases that there are five observations. (a) YB1XB2X2+BXE (b) VYBoB, X,a +2 log10 X2+E regression model never reduces R2, why 3. If adding predictor variables to a...