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only answer and thank you السوال 1 The product of matrices [28]+[043] is: [-4 14 lo...
and Consider the matrices [1 2 3 4] 1 1 1 1 A= lo -1 0 1 14 34 31 17 7777 1 2 3 4 . Which of the B= lo -1 0 1 La 34 35 following is true? det B = - det A det B = det A det B = -7 det A det B = 7 det A
1. Let A and B be two 4 by 4 matrices with (let A =-2 and det B-1-8. Find det(-2.1' B) 2. Assume that A is a 4 x 4 matrix and det (Adj(A))-8, find det(A) 3. Find the inverse the given matrice by way of elementary row operations
a - c For the following matrices check the statement: “If a matrix X has full rank then the matrix X'X is invertable” and find the inverse matrix (X'X)-1. o 1 (a) X = 0 0 0 0 ſi 0 1 (b) X = 1 0 1 0 1 1 (c) X = 2 3 3 0 4
Activity 15 - Matrices, Sequences and Conics Math 180 Task 6: Matrices and Cryptography messages. Using the following code, Matrices are used to encode and decode encrypted KİLİMİN 2 | 3 | 4 | 5 | 6 17 18 T-9 10111 | 12 | 13 | 14 一0一ㄧ一Pー1_Qー1.RT-s-T_T-I-U 15 16 17 18 19 20 21 ㄨㄧㄒㄧㄚ 1-2.TSPACE 24 25 26 ˇ一ㄒ一w 22 23 The sentence MATRICES ARE FUN becomes: AİRİE 13 1 20 189 3 5 19 0 1 18...
Please answer # 22 and 24 hapter 1 Systems of Linear Equations and Matrices *21. Suppose that A is n × m and B is m × n so that AB is n × n. Show that AB is no invertible if n> m. [Hint: Show that there is a nonzero vector x such that AB then apply Theorem 6.] and 22.) Use the methods of this section to find the inverses of the following matrices complex entries: 1- 0...
# 2 and # 3 2 -6 4 -4 0 -4 6 1. Define A = 8 01 . Determine, by hand, the LU factorization, of A. You may of course check your answer using appropriate technology tools. Then use your result to solve the system of equations Ax b, where b--4 2 0 5 2 2. Suppose A-6 -3 133Even though A is not square, it has an LU factorization A LU, 4 9 16 17 where L and...
13 please 8. b. -2 3 0 0 0 0 -1 2 0 0-4 0 3 0-2 0 3 0 0 -2 0 3 0 4 o0-1 6 0 0 1 o 2 6 0 0 -1 6 10. For any positive integer k, prove that det(4t) - de(A)*. 11. Prove that if A is invertible, then den(A-1)- I/der(A) - det(4)- 12. We know in general that A-B丰B-A for two n x n matrices. However, prove that: det(A . B)-det(B...
1. Given matrices (A), [B][C], [D], and [E] compute the following. You must show all the steps in your solution to receive credit. (2 points each) -1 3 1] [-2 1 [-2 4 1 [A]*[B] [B]*[C] [D]*[A] [C*E] det[B] det[D] My of [D] M22 of [D] M21 of [D] Write the following system of equations in matrix form x-5y+32-6=0 3y +2x = -11 3x-7z+15= 0
Differention Equations - Can someone answer the checked numbers please? Determinants 659 is the characteristic equation of A with λ replaced by /L we can multiply by A-1 to get o get Now solve for A1, noting that ao- det A0 The matrix A-0 22 has characteristic equation 0 0 2 2-A)P-8-12A +62- 0, so 8A1-12+6A -A, r 8A1-12 Hence we need only divide by 8 after computing 6A+. 23 1 4 12 10 4 -64 EXERCISES 1. Find AB,...
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...