three seperate questions multiple choice Given A= -(-18)and B=(1-32] Find the matrix product AB, if it...
three seperate questions multiple choice 13 and B= Find A -B. 2 . [4:1 Let A= -1 6 2 6 7 177 15 12 1 5 5 30 1 5 3 30 7 17 15 36 Let A and B be 3 x 3 matrices with det(A) = 2 and det(B) = -3. Then find det(-A2B). -6 -12 6 12 [5 2 -2 3 -47 0 4 21 _0 Find the determinant of the matrix, A= 10 0 -2 3...
2 seperate questions multiple choice The augmented matrix for a system is given as, (9-3631 Find the general solution or state that there is no solution No solution 5 = 7 T. N (-5,7) For the given matrix A, find a basis for the corresponding eigenspace for the given eigenvalue. 1-4-4 A-4 4. A = -3 4 -4 -7 1
2 seperate questions the last picture is part of the second question ( multiple choice) Let A and B benxn invertible matrices, then det(B-1 AB) = 0 det(A) det(B) -det(A) (1 2-3 51 The augmented matrix for a system is given as, 0 1 4-6. Find the general solution or state that 0 0 0 0 there is no solution x=5-2y+32 y=-6-42 z is free x=17 y=-6 z=1 0 O X 17 [11] y -6 +1 -4. N 0
two seperate questions multiple choice Determine if the vector is an eigenvector of a matrix. If it is, determine the corresponding eigenvalue. A= 1 1 1 and v The eigenvalue is 2. The eigenvalue is 0. The eigenvalue is 3. v is not an eigenvector. Find the inverse of the matrix, if it exists. A= -1-6 6 3 2 11 11 1 11 33 33 NE -= 2 11 = -18 = -1= 야야 O
MATLAB HELP!!! Recall that if A is an m × n matrix and B is a p × q matrix, then the product C = AB is defined if and only if n = p, in which case C is an m × q matrix. 5. Recall that if A is an mx n matrix and B is a px q matrix, then the product C-AB is defined if and only if n = p, in which case C is...
Q3 (3 points) Show that if both AB and B A are defined then AB and BA are square matrices. + Drag and drop your images or click to browse... Q4 (3 points) Let A = (a) be a 2 x 2 matrix. The trace of A. which we denote by tr(A) is a number defined as tr(A) = 0 + 0x2. Prove the following properties of this number for 2 x 2 matrices A and B and a real...
3 seperate questions multiple choice Determine which of the following matrices are in RREF. ſi 0 0 27 i) 0 2 0 3 0 1 1 4 ſi 0 1 0] i) 0 1 1 0 0 0 0 1 [1 0 -1 2 ii) 0 1 07 0 o [1 0 0 2 iv) 0 1 0 1 0 0 1 0 0 0 1 iv only ii and iii ii and iv i and ii For the given...
5 points 1. True of False: a. if A is an n x1 matrix and B is a 1 xn matrix, then AB is an n xn matrix. b. if A is an n x1 matrix and B is a 1 x n matrix, then BA is not defined. 20 points 2. Use the Invertible Matrix Theorem to determine which of the matrices below are invert- ible. Use as few calculations as possible. Justify your answers. [34 01 4 5...
Find each of the matrices or explain why it is not defined: A+B; BA; AB, if А ſi 4 02 7] ſo 1 11 B = 1 -1 2 2 3 0
help on 8-12 would be awesome. e3 and 3Find C- 2D. A) B) C) D) sizes of two matrices are given. Find the size of the product AB and the size of the prodact BA, if the given product be calculated 9) A is 2 x 1 B is1 x1. 9) A) AB cannot be calculated: BA is 1 × 2. G AB is 1 x 2; BA is 1 x 1. B) AB is 2 x 2, BA is...