If A is n x n matrix where |A| = 5 and |2A| = 80 then %3D a. n=3 b. n=2 C. n=4

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A: rank nullity relation for a matrix A is: rank(A) + Nullity(A) = number of columns of A

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Q: find an elementary matrix E that satisfies the given equation E C =A

A: EC = A ECC-1 = AC-1 Hence, E = AC-1

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A: The given problem is to find the matrix X which satisfies given matrix equation with given matrices.…

Q: A is a 3 x 3 matrix, det(A) = -2. What is the value of det(3A)? %3D -6 O 54 O -54 O 6 O 27

A: Given :-  A is a 3×3 matrix , det A =-2. To Determine :-  The value of det 3A.

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Q: If A is an 3x 4 matrix and the nullity of A equals 2, find the rank of A Select one: а. 3 b. 4 C. 1…

A: The solution is given below

Q: If A is an 3x 4 matrix and the nullity of A equals 2, find the rank of A. Select one: а. 3 b. 2 C. 4…

A: Use Rank-nullity theorem to solve this problem.

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Q: For which values of x and y the following matrix is skew-symmetric? 0 3 6 A =-3 0 x+y x 9 0 OA. X-6,…

A: Correct option (C) x=-6 y=-3

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Q: If A is a 4×6 matrix and the dim Nul A​=3,what is dim Col A​? Justify your answer.

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Q: c -r and det(A) = 6, which of the following could represent A d -t . Given matrix A =

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Q: For what value(s) of k is the matrix not invertible? kk 0] k2 2 k 0 kk (A) -3 B C) 4 D -4 -5

A: Solution

Q: For which values of X and y the following matrix is skew-symmetric? 0 3 x+y A=30 9 [6 x -1 O A X= 6,…

A: Correct option (C) x=-9 , y=3

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: ind the general solution to the system x ' = Ax where A is the given matrix. -4 -2 A= -3 -3 2 D O…

A: For this problem, first we will find out the eigenvalues of the matrix A and corresponding…

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A: Let's find.

Q: If A is n x n matrix where |A| = 5 and |2A| = 80 then a. n=3 b. n=2 C. n=4 d. n=8

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: A B А - R B Matrix becomes C D с D-R

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Q: メ-E to to L-E 2-E to to to d-E put K-E =U E= d-fX

A: The solution to the given question is explained below.

Q: If A is n x n matrix, invertible, and B is n × n. Then Col(BA) =Col(B) O True O False

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Q: If A is an n X n matrix and b is n × 1 matrix, then the cost for A²b is Select one: О а. 2n3 + п? —п…

A: We have to find cost of given matrix:

Q: If A = d -5 is a skew-symmetric matrix then C. %3D 3. e O a c=2 and d30 O b.c=0 and d=-2 Occ=0 and…

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Q: Let A be a 2 x 3 matrix, B be a 2 x 3 and C be a 2 x 1 matrix. Which of the following could be ABC?…

A: It is given that A is a 2×3 matrix, B is a 2×3 matrix and C is a 2×1 matrix. The objective is to…

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A: Concept:

Q: For what value(s) of k is the matrix not invertible? kk 0 k²2 k 0 kk

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Q: If A is 3 x 3 matrix with det (A) = 3, find det (3 O a. 33 O b. 1 О с. 32 O d. 3

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Q: If A is m x n matrix has rank of 5 and the dimension of N(AT) is 2 and dimension of N(A) is 4 then:…

A: We have to find value of n.

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Q: Let B be a Sx5 matrix and Caa): (a-1)(X-メーい(メ) Than the rann of 21-B is? A)S B) 4 c) 3 D) can't…

A: Rank of any matrix is equal to number of non zero rows of matrix when it is in row reduced echelon…

Q: If A is n x n matrix where |A| = 5 and |2A| = 80 then %3D a. n=3 b. n=2 O c. n=4 d. n=8

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Q: If A is a 3 x 5 matrix, then the number of leading 1's in the reduced row echelon form of A is at…

A: There are 3 row in A and row is less than column

Q: (2 1) LA 3 4/

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Q: You have been given the following matrix: -2 A =7 -1 0 -1 1 1 Let C=A". With this knowledge figure…

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Q: (4) Given matrix A .3 5). and that h(T) = T² – 2T – 7,find h(T).

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Q: If A is a 4x4 order matrix and det(A) = -1, then the value of det(3A) is Select one: O a. -81 O b.…

A: we are allow to solve one question at a time thank you

Q: D E F A 8 12 В 10 4 8 2 5

A: Probability=favourable outcometotal number of outcomesTotal Number of…

Q: (a) If A=[ay] is a 3x3 matrix; such that ay = i (4-²), find the values of diagonal elements and the…

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Q: a b A = | d f e k compute Aē1, Ae2, and Aē3. (b. If B is an n × 3 matrix with columns ī1, v2, and…

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Q: Suppose C(A) = C(A") where A is m x n matrix, then %3D O a. r=m O b. m=n C. mn

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