(8 points) Question 3 : Let A - B = [4 3), and D- 1 find 1. A + 3B 2. B-2A = 3. CD = 4. DC
Given the following matrices, find 2A + 3B. 3 2 4 7 A= 1 2 -1 B= 2 -3 a b For the resulting matrix 2 A+3B = where с d a = = C= d
3 2 1 1 2 3 3) Let C- 2 6-1and D 0 5 6 0 09 12 0 a) Find det(C) b) Find det (D) c) Find det (CD) d) Find det(DC)
Given the following matrices, find 2A + 3B. 2 14 7 1 - 3 A= [2 - 1 B = 2 -3 For the resulting matrix 2 A+ 3B = (a b d where с a = 11 -12 C= 4 d = -5
Let the two vectors A=4i+5j+3k,B=-2i+3j-4k, and C=3i-5j+k find: A. S= A+3 B+6C B. (-5A .B).3C C. (3B*2A)+C D. Find the angle a between A and C Let the two vectors A=4i+5j+3k,B=-2i+3j-4k, and C=3i-5j+k find: A. S= A+3 B+6C B. (-5A .B).3C C. (3B*2A)+C D. Find the angle a between A and C
Let A, B, C, and D be matrices with the following sizes: A, 5×3 B, 3×2 C, 3×5 D, 1×3 Which of the following matrix operations are defined? i) AB (ii) A + 1 4 C (iii) DC
4. Let B be a matrix such that -2a -3b nullspace(B)- What is the dimension of the column space of B? What is the dimension of the row space of B?
please solve it quickly
Toss a die twice. Let A={(a,b)a=3b} be an event. Find the probability of A, P(A). Select one: 1/9 1/18 1/12 1/4 1/2 How many different words can be constructed by use of the letters of the word “ELEPHANT"? Select one: 6! 8! 2! 8! 4!
Linear algebra
[ a b c] 3. Let A= | p q r . Given that det(A) = -2, | 1 y 2 23a - p2p (a) evaluate the determinant y 3b – 9 29 z 3c -r 2r (b) evaluate det(2A²A+ A-?).
For each transformation T and basis B and C, find the corresponding matrix representation M of T from basis B to basis C. 1) Let T6 = la + 2b + 4c 3a +86 + 16c la + 3b + 6c be a linear transformation. -2a +(-7) + (-14)c] с 1 Let B= 2 > -1 4 0 2 Let C = [11] [32] [] [1] The matrix M for transformation T from basis B to C would be: 2)...