Question 2 Given matrices A and B shown below, find (-3)A+ (4)B CONTENT FEE 4 2...
11. Given the matrices A, B, and C shown below, find (A+B)C. = li 3 2 - 5], B = [4 / 1.0 -2 3 23.c = LA 11 2 3. -2
Consider the product of two matrices A and B of dimensions 4 x 4 as shown below. 0 1 2 3 11 2 3 4 | 0 1 2 3 I 1 0 2 46X2 3 4 5 I 0369 0 0 0 0 I I 14 20 26 32 I - 28 40 52 64 I I 42 60 78 96 I 3 456 1. Write a program to find the product of two matrices. The program should display...
Question 1 [10 points] Given the following matrices A and B, find an elementary matrix E such that B- EA You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrbx. 4 6-6 0 7 0 5-2 -4 -7 1-10 -4 6-6 0 4 -4 9-3 4 -4 9-3 o 0 0 E- 0 0 0
1 3 1. Find the inverse using elementary matrices A 2-3 Find a sequence of elementary matrices whose product is the given matrix. 2-H 4 3 Find an LU-factorization. 3 01 6 1 1 3. -3 1 3 1. Find the inverse using elementary matrices A 2-3 Find a sequence of elementary matrices whose product is the given matrix. 2-H 4 3 Find an LU-factorization. 3 01 6 1 1 3. -3 1
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
4 parte to same question Q4 Matrices 9 Points Use the matrices A and B below to answer the following questions. 3 -2 10 1 5 A= ] 0 -7 6 4 10 B= -4 Q4.1 Order 2 Points Determine the order br.4. 0 2 x 2 O 2 X 3 O 32 0 1 2 Q4.2 Element 1 Point Determine the element 621 Enter your answer here Q4.3 Add hvatrices 3 Points Is A + B possible? Explain. PEnter...
tut3.1 1. Find the modal matrices M for 1 3 3 5 -1 2 0 1 2 (a) A (b) A (c) A =0 3 0 4 2 3 3 and check by direct matrix multiplication that M 'AM results in the correspond ing spectral matrices A 1. Find the modal matrices M for 1 3 3 5 -1 2 0 1 2 (a) A (b) A (c) A =0 3 0 4 2 3 3 and check by direct...
4. Perform the operation B + BC with the given matrices: -2 -5 71 BE -8 1 2 4 C= 0 -4 10 -59 27 -55 -45 88 28 -11 O -51 -45 77 85 -54 -51 28 4 - 7 -54 24 3 -51 -3 27 - 85 -6 -7 -59 27 3 -47 This operation cannot be performed with these matrices.
Consider the product of two matrices A and B of dimensions 4 x 4 as shown below 100 00 I 1 01 23 I 1 0 2 46 X 0369 1 01 2 3 I | 1 2 3 4 234 5 I 1 3 45 6 I | 14 20 26 32 - 28 40 52 64I 1 42 60 78 96I 1. Write a program to find the product of two matrices. The program should display the two...
(4) (15 marks) Repeat the Question 2 for the following matrices -3 4 0] 0 0 A -2 30 B 0 -1 0 -8 8 1 0 0 1 ū= 10 = > 3 (I) (2 mark) Find the characteristic polynomial of matrix A. (II) (1 mark) Find eigenvalues of the matrix A. III) (2 mark) Find a basis for the eigenspaces of matrix A. IV) (1 mark) What is the algebraic and geometric multiplicities of its eigenvalues. (V) (2...