4 1 -3] 4 9. 7 2 1 -1 -5 3. hts) Let A = B = Let C = -2 8 -7 0 2 -1 -1 9. 3 Compute all of the following or describe why it does not exist. (а) А- В (b) В - А (c) A? = A. A (а) в .С

Q: QUESTION 8 List the elements in (3))in Z 18 -

A:

Q: T-1 3 Let A = Find S, D, and S-1 such that A = SDS-¹ S= 88 ,D= 1981 S-¹_ 81

A: We have to find the value of Diginal matrix.

Q: rank(A)= 1 3 4 rank(A)= (1 2 3 4 5 ) rank(A)= 1 0 0 0 O 2 0 0 O 0 3 0 O 0 0 4 rank(A)=

A: The rank of a matrix A is the number of linearly independent row vectors ( or column vectors) of A .…

Q: only HANDWRITTEN answer needed ( NOT TYPED)

A: If A=abcd then A-1=1det(A)d-b-ca The given matrix A=1424 det(A)= 4 - 8 = - 4 = 3 in  ℤ7  (since 4 +…

Q: 306 3. ³ [34] 1-1 [B] 3 5. 7. 9. 11. -6-1 2 320 -14 -2 5 31-1 -12 0 5 4-2-1 24 4 1-1 3 4. 13-16 9-11…

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Find a square root of the matrix 1 A 1 = (₁ -5 2 ₁ ¹ + ²i). 9

A:

Q: Determine whether the transformation is one-to-one. I1 +2 - 13 + 2x4 +4x5 -201 - 12 + 2x3 – 3x4 +…

A:

Q: multiply the matrices. -1 02-3 -2 4 x 7 -1 -5 -1

A:

Q: 3 -1 [2 -3 -47' The matrix product 2 4 1 0 1

A:

Q: Zet A- a b c d Ij ad- bc #6 then A is invertible and if ad-bc=0 then A is not invertible. A-+- d…

A:

Q: 3 -1] 2 -3 -4 2 4. The matrix product 5 1 1.

A: Given problem Given that   We know that Condition to multiply 2 matrices :   Two matrices are only…

Q: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the…

A:

Q: Elementary Matrices Technique to find inverse of the matrix [1 2 31 2 5 6 [2 5 7]

A:

Q: Find the two conditions on b1, b2, and bz which determine solvability of 4 8. 3 4 =6= b2 -6 -7 -8 b3

A: The objective is to form the equation involving b1, b2, and b3 that determine the solvability of the…

Q: In Exercises 1-4, verify that B is the inverse of A by showing that AB = BA = 1. 1. A = 2. A = 3. A…

A: We will solve question no. 3 and question no. 7

Q: Linear Algebra Given B = v1 {(0, 1, 1, 1)}, v2 = {2, 1, –1, –1} , v3 {(1,4, –1,2)} , v4{(6,9,4, 2)}…

A:

Q: 4 -1 1 X1 100 -1 4 -1 1 X2 100 -1 4 -1 X3 100 -1 4 100 1 -1 4 X5 100

A: Introduction: Every system of linear equations can be transformed into matrix form. The matrix form…

Q: Let A be a 6 x 6 matrix. Suppose A6 is equal to the zero matrix. Denote by I the identity matrix of…

A: The matrix A is nilpotent if and only if all its eigenvalues are zero.Independently of this, we have…

Q: 4. Perform the indicated operations. -2 1] a) [1 -4] 0 1 5 1 b)| 0 4 13 4

A: We have to perform

Q: Let A be a 6 x 6 matrix. Suppose A6 is equal to the zero matrix. Denote by I the identity matrix of…

A: Given A6= 0. We will show all of the eigen values of A are Zero. Then we will show eigen values of…

Q: Matrix Given A=  3 −1                 −3 1 compute 4A

A: Given that  Matrix A  To find the 4A

Q: 2F₁ (a,b; b-a+1;-1) = T(b=a+1)T b r(+1) r(2-

A:

Q: Given B = v1 {(0, 1, 1, 1)}, v2 = {2, 1, –1, –1} , v3 {(1,4, –1,2)} , v4{(6,9, 4, 2)} B' = wi {(0,…

A: It is given that the matrix A is A=3-2101621-3071 and T:ℝ4→ℝ3 such that Tx=Ax where x=x1x2x3x4.…

Q: matrix Dr. Buchmann asks the class to calculate the inverse of the following One of your classmates…

A: The given matrix is, 1021-12310 The inverse can be obtained by: The inverse can be obtained by the…

Q: 7. Find the inverse or determine the matrix is not invertible. (a) 1 (b) 1 -2 1 (c) -3 1 3 -2 -1 2 1…

A:

Q: find all values of x for which A is invertible. x? A = x+2 x – 4

A:

Q: Part 1 Let A be an m x n matrix, and let beR". Show that if u and v € R" are both solutions of Ax=b,…

A:

Q: 2 Let y = 6. u₁ T 11 I W|N w|→ 3 WIN 2 3 II 2 W|N 2/3 113 and W = Span {u₁,u₂}. Complete parts (a)…

A:

Q: 5 10 1A=(31) and B=(219).find 8 -2 1) (a) (AB) (b) BTAT 2) If (3)(3-(29(2) 3) Find the inverse of…

A:

Q: -1 If A =| 2 1 0 then A3 + A? – A = 5 -1. O A O The zero matrix of dimension 3 O The identity matrix…

A:

Q: 3. 2 -3 The matrix product 4 1 1

A: Follow the next step for explanation.

Q: Matrix Multiplication 9 -2 4||1 2 -4 8 9 -7||6 4 -7 = ? 4 8 86 4 -8

A:

Q: 2. 1 3 Let A = |0 2 -1 Lo 2. a) Show that (A – 21)³ = 0 . Calculate e4-21 b) Use the fact that A(21)…

A: (a) We have…

Q: 1 0 0 [ENEER -2 1 0 34 1 4. A = 100 210 5-4 1

A:

Q: Find the adjoint of the matrix A. Then use the adjoint to find the inverse of A (if possible). (If…

A:

Q: 2. Find the inverse matrix for A=|

A:

Q: anspose each matrix 1-23°

A: The matrix A is given as  A=1-2378-9 The transpose of A is given by changing rows into columns and…