-1 When diagonalizing the matrix A we get A = PDP-1 1 -2 Then P =? and D =? 1 2 -1 P and D 0 2 -2 1 P and D 2 D = 1 Op- and -2 Op-i 1 -1 P and D = -2 0 2 O N

Q: 2- For any constant matrix A, if A² = 0 then a- e4' =I +At b- e4 =I - A12 c- e At-A²1 ² The correct…

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Q: 2-3 If A = -6 7 and B = 1 then what is the entry C12 of the matrix 3A + B'? 4 -3 DA-5 OB 5 Oc.0 OD 3

A: Given A=2-341 and B=-674-3 To find the entry c12 of the matrix 3A+BT

Q: 1 Given the matrix, A = 2 -1 3 find A-1, using the Gauss-Jordan method 4 1 8

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Q: (a) Calculate the matrix P(2) (in terms of the constants a and b). (b) If the probability of the…

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Q: 2 0 y 1 4 If the matrixA = 1 is symmetric matrix then what is x + y + k =? -1 1 k 0 Select one: a. 1…

A: Solve the following

Q: (1). Find an elementary matrix E so that B = EA where %3D [1 0 B= |0 1 -5 16] 7 A=0 1 L-2 0 2 -5

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Q: 3 -3 2 B = 5 1 3 2 -2 -1 e. The elementary matrix E, multiplies the second row of B by 1/6. EEE E,…

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Q: (-1 0 1 Consider matrix A = |-7 1 1 2 4 1 (-2 0 5) Calculate det(A³) [Please enter your answer…

A: Find determinant of A by taking first row. After that we will get a matrix of 3×3 find determinant…

Q: 2 -1 B= 4 5 2 2 5 Let A= 3 7 4 3 8 Find the matrix D such that CD-AB=0.

A: We have to find matrix D

Q: 4. Given the matrix A below,  A = [ 2 1 3           1 -1 1           1 4 -2 ] find  a) its…

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Q: ) -4 1 -7 3 Consider diagonal matrix A -4 and matrix B = 4 -5 -4 -2 9. 6. (a) Compute A.B and -4 x…

A: When a scalar is multiplied to a matrix, then it is multiplied to each element of the matrix. Two…

Q: Question2 Find the Rank and Nullity of the matrix -1 20 4 5 3 -7 2 1 4 A= 2 -5 2 4 6. 1 4 -9 2 -4 -4…

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Q: 1 0 2 2. Given the matrix, A = 2 -1 3 find A-1, using the Gauss-Jordan method 8

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Q: det (–3(A" A-²)*) Consider matrix A of order 3, the value of corresponds to: 1 a) –7 - 1 b) –3 c) –3…

A: For the solution of the problem follow the next step.

Q: a 1 -1 For what values of a in the matrix rankA = 3? A = 1 1 -2 8 - -1 -1 a O A) a+1 O B) a+ 1, 2…

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Q: -1 3 Q1: Given A = B = 5. 3 find the matrix X if 2xT-AB3D -2 1 -3

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Q: *8. Suppose A is a square matrix satisfving the equation A3 – 3A +I = 0. Show that A

A: We have to solve given problem:

Q: Consider the matrices 3/2 4. 1 2 -2 4 4. 1 -2 3. C = 4. 1 2 A = B = -2 1/2 7

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Q: 3. (a) If A is a 3 × 3 matrix and det(A) = 3 then what is the value of det(3A)? (b) If A-1 = A then…

A: Given A is a 3×3 matrix and detA=3

Q: You're given these two elementary matrices E1 =    1 0 0 1/9     ,  E2 =    1 4 0 1   Let's…

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Q: 1. Solve matrix equation A· X = B using the methods of your choice. Clearly mark the answers.…

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Q: above one If A, B and C are invertible matrices, then (3A CB™)-1 is A-5 B-(C-1)" equal to the above…

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Q: Solve the matrix equation for the unknown matrix X. (If not possible, enter IMPOSSIBLE in any cell…

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Q: Find the elementary matrix E₁ such that E₁A = B where A = 8 9 1 7 -17 −1 18 1 10 and B = 18 7 8 1…

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Q: calculate e^A. a= [-2    4]       [ 0    2] this is a 2x2 matrix

A: The term can be express as in terms of hyperbolic function

Q: -5 41 ka) Find rank of matrix A 1 -2 1 -4 5. .

A: We are given a matrix 2-541-211-45 For checking the rank, first let us calculate the determinant of…

Q: (-3 For the matrix A = | -6 9 what is the value of |A|? 2. A. - 36 В. 48 36 D. - 48 LO

A: Hence determinant of A is 36

Q: 3 4 The matrix is singular if a O a. a = 1 or a=2 or a = 4 O b. a = 3 or a = 5 or a = 0 O c. a = 6…

A: the given matrix is  A = α34αα5ααα

Q: Are there values of r and s for which [ 1 0 r- 2 0 s- 4 r+2 | 3 has rank 1 or 2? If so, find those…

A: Let's find.

Q: Question 3 p-1 1 0 1 0 P= Find a matrix such that -1 0 P = OA. OBP 3 -1 OcP = 0 1 1 0 P = OD. [13 0…

A: Option (A)  is correct.

Q: Which one of the following is not a diagonal matrix? .a 0 0 3 0 2 0 1 0 0 .b -5 0 0 5 0 0 0 5 .C -1…

A: A matrix is a diagonal matrix if it has non zero entries only at the principal diagonal while all…

Q: (1 -2 9 For the matrix B = ( 0 \1 Y 3), if |B| = 0, what is the value of y? 3, 1 А. — 3 В. — 4

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Q: A is a 9 x 4 matrix. Which of the following could be nullity(A)+nullty(Atr). a) 3 b) 4 c) 6 d) 7 e)…

A: Concept:

Q: [4 1 21 tA-3 4 2. B-1 -2 3, and C-5 0 2 Lo 3 2] [-1 0 5 [1 2 -3] [1 4 -3) 1 -1 1 [s 20 Find the…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Here matrix A 4 2- i 9 A= |2 +i 0 3+i 3- i 7 Can you solve for A· A" (Transpose matrix)?

A: Explanation of the answer is as follows

Q: [이 F(0) = da -2

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Q: [1 2 4] [1 2 41 A = 2 1 3 and B = |2 1 3 li 0 2. l2 2 6] Find the elementary matrix, E such that EA…

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Q: Solve the matrix equation for the unknown matrix X. (If not possible, enter IMPOSSIBLE in any cell…

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Q: Which one of the following is not a diagonal matrix? .a 3 0 0 0 4 0 0 0 5 .b -1 0 0 0 3 0 -6 .C -5 0…

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Q: 8 -6 Find the matrix P that diagonalizes A and the resulting diagonal matrix D. -2 4 4 3 1 D= P =…

A: The solution is given as follows :

Q: i) Find the matrix A-¹. ii) If Ax = y, solve for x.

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Q: Let A = L} ? - 1 0 B = 1, and C = [-1 1]. %3D -2 3 0. Then 2BC + AT = %3D 1 3 -4] -2 -2 -1 1 O the…

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Q: 9. Consider the matrix -- 1 A 2 2 -1 0 а. Write the equation det A = 0 in terms of x, y, and z. b.…

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Q: -11 is singular -3] a Q1/A) Find the value of a, where A = 3 -1 -2 a matrix.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 3 -1 6) If X = is a matrix of order 2x1, given that A= [1 2 B = C = find the matrix X such that AX…

A: Given A=3-112, B=31, C=1-2 and X=pq

Q: 0 11 0 2 1 5] 3. 2- Find A. A-1 if the matrix A is given by: A = -1

A: As per our guideline we are supposed to answer only first asked question.kindly repost other…

Q: 0 -2 3 0 B = -2 4 ve C=1 -1 2 0 FIND MATRIX a) 2-3A" b) AB c) C" B

A: The given matrices are A=1314, B=30-1-240  and  C=0-21-120 . (a) Evaluate I2-3AT as follows.…

Q: QUESTION6 Which of the following matrix is in Reduced Echelon form? 2009 o0108 0 037 13 3 3 0100…

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Q: -25 Find the characteristic equation of the matrix 3 5 C. 22 -32-25 = 0| A. 22-32+5=0 B. 22 +72+5=D0…

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Q: 4. Consider the matrix equation Ax = b where, A = a b 1 1 where a, b > 0. (a) When is A strictly…

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