Suppose A is a 4x2 matrix and B is a 2x3 matrix, such as 8 81 A=1-4-6 3 -86 B=12-6 What are the dimensions of the following matrix products? . The dimension oF AB is . The dimension of BTAT is . The dimension of ATA is . The dimension of BBT is Give the answer in the format (number of rows) * (number of columns)
2. Partitioned matrices A matrix A is a (2 x 2) block matrix if it is represented in the form [ A 1 A2 1 A = | A3 A4 where each of the A; are matrices. Note that the matrix A need not be a square matrix; for instance, A might be (7 x 12) with Aj being (3 x 5), A2 being (3 x 7), A3 being (4 x 5), and A4 being (4 x 7). We can...
three seperate questions multiple choice Given A= -(-18)and B=(1-32] Find the matrix product AB, if it is defined. 0-6 21 1 -18 12 [-28 - 3 6-71 -20 -1 19 (3 7-11 -20 19 AB is undefined. The sizes of two matrices A and B are given. Find the sizes of the product AB and the product BA, if the products are defined A is 2 * 3, B is 3 * 2. AB is 3 x 3, BA is...
(1 point) Suppose that A, B, and Care 5 x 5,5 X 6, and 6 x 9 matrices, respectively. Determine which of the following products are defined. (a) BC Answer: undefined (b) CB Answer: undefined (c) AB Answer: 5x5 (d) 42 Answer: 5x5 Note: 1) For those defined, enter the size of the resulting matrix (e.g. 3 x 4 with spaces between the numbers and x). ii)For those undefined, enter undefined.
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...
3.23 True or false. justify your answer 190 LINEAR TRANSFORMATIONS 3.22 Let A be a 4 x 3 matrix and B a 3 x 4 matrix. Then AB cannot be in 3.23 Suppose that A is an invertible matrix and B is any matrix for which BA i 3.24 Suppose that A is an invertible matrix and B is any matrix for which AB is 3.25 Suppose that A and B are nxn matrices such that AB is invertible. Then...
(4 points) if B and C are 2 x 2,2 × 3, and 3 8 mat ces respectively determine which or the following products are de ned For those defined, enter the size of the resulting matrix (e g. "3 x4", with spaces between numbers and "*"), For those undetined, enter "undetinea BA AB AC BC
Lecture 11: question 2 • Which of the below is/are correct with respect to the product of two matrices? A The product AB is defined as the standard matrix of a composition of two linear transformations with the standard matrices A and B applied in the indicated order. B. The product AB is the matrix whose columns are the products of the matrix A and the columns of B. C. The entry (7) of AB is calculate as a sum...
1. Find a 2x2 matrix A if for the vector v= [R], Av = [4 +38] 2. For this problem, use matrices A = La ), B=1 _Jandc=lo 9]. Suppose that the matrices A and B commute (so AB=BA) and the matrices A and C commute. Find the entries for the matrix A. 3. Find a number a so that the vectors v = [3 2 a) and w = [2a -1 3] are orthogonal (perpendicular). 4. For the vector...
Find (if possible): a. AB and b. BA 2 3 A = 3 4 B = -3 -3 -2 0 4 1 0 0 a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. AB = (Simplify your answers.) OB. This matrix operation is not possible. b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. BA= (Simplify your answers.)...