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

Q: For what values of r and s is the following matrix regular?

A:

Q: Find the elementary matrix E such that EC A where [2 4. 2 -1 2. -2 and C = 4 A 2 -1 -2 8 -6 [16 10 E…

A:

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

A:

Q: || You are given that, for the (3, 3)-matrix A below, det(A) = 5. %3D a A = Then 4 a 4.b 4 c det 4 r…

A: 1) |kA|= kn|A|  Where , A is n×n square matrix and k is scalar factor .  2) If each element in a row…

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

A:

Q: If A is an n×n matrix with Col A​ = Rn​, how many solutions will there be to Ax​=b​, for any b in…

A:

Q: Let A, B and C be n x n matrices. Then (2AT + BC)T 2A-CTBT O is equal to the above 2A + CTBT is…

A:

Q: Let A = C 1. and X be a matrix satisfying: 2XT-A = (X + 2B)". B Then X is equal to the above equal…

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

Q: (b) Write down a possible matrix A such that when we apply the above elementary matrices, we get an…

A: Given: The 3 by 3 matrices that produce the elimination steps. E21 subtract 4 times row 1 from row 2…

Q: The rank of the matrix a = b = c is: 1 a b a² 6² 1 1 C where

A: Given :          matrix =[111abca2b2c2]Also given :  a=b≠c

Q: For which values of x and y the following matrix is skew-symmetric? 03 x+y A=30 9 6 x -1 OA. X-6,…

A: Given: The matrix  A=03x+y3096x-1. To Find: For which values of x and y the given matrix A is…

Q: If A is n x n matrix and a E N (AT A), then a. IEN (AT) O b. r b. IEC (A") Oc. rEC(A) O d. rEN(A)

A:

Q: If A is an n×n matrix with Col A​ =Rn​, how many solutions will there be to Ax​=b​, for any b in…

A:

Q: a) If a n x (n + 5) matrix has rank n, find dim Nul A, dim row A and rank A". where n=9.

A: Explanation of the solution is given below...

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

Q: 9. . Suppose that A = PDP¯' and B = 31 + 2A + A². 5 Let D a Find a diagonal matrix D1 such that B =…

A:

Q: Let A be a 3×3 matrix, and suppose that the matrix B is obtained from A by the following row…

A:

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

A: We use properties of matrix

Q: 7.Suppose CA = and then the matrix C is A-A 16 24 (b) 28 41 (a) (c) (d) '(e) nonė [2 4 21 AlA-T) . o

A:

Q: [0] Let A = : 1.B = : J.c = 6 1. and V = [1 2 31 l4 5 6 „B = lò ol.c = 6 1, and v = |1. What is the…

A:

Q: Q1) Answer the following a) If a 7 × 5 Matrix A has rank 2, find dim(Null A), dim (Row A) and rank…

A: (a) Given that A is a 7×5 matrix of rank 2. To find: The dimension of Null A and dimension of Row A.…

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: For what values of A is the matrix below singular? [λ 9 Lo 9 07 λ 4 4 21

A:

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

A: see 2nd step.

Q: a) If a n x (n + 5) matrix has rank n, find dim Nul A, dim row A and rank A".

A: Given n=2 Matrix A is 2×7 matrix  We need to find dim(Nul A) ,dim(row A) and rank AT

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

A:

Q: Given 4x6 matrix A with rank(A)s 3, the nullity n of A must be a. 4<n<6 b. none of these c. 1<n<3 O…

A:

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

A:

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

A:

Q: Suppose that A is a 3 x 3 matrix. For each of the question (a)-(d), find the elementary matrix E…

A:

Q: Let A be a 4 x 4 matrix with det (A) = 1. What is det(2A)? a) 1 b) 2 c) 4 d) 8 e) 16

A: By using determinant property, we calculate the required result.

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

A:

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

A: option (b) m=n is correct.

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

A:

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.

Q: Are there values of r and s for which 1 0 r- 4 4 0 s- 2 r + 4 5 has rank 1 or 2? If so, find those…

A:

Q: If D is a 10 x 10 diagonal matrix with D5.5 = 2 (the entry in row 5 and column 5 of D), then what is…

A: The solution is given as follows :

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 = and P = then the similar matrix of A is: 0.5i A) 15 -0.5il B) , [-1.8i D) -0.4 1.4 0.8il 2.5…

A: It is given that the matrix is A=2i01-2i. To find the similar matrix of A. Note that: A matrix A is…

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

A:

Q: Let A be an n xn matrix and B= A+1, where I is the identity matrix, then it is possible for A and B…

A:

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

A:

Q: W is a 120 x 60 weight matrix, What are the dimensions of dW? According to the principle of…

A: Given that W is a 120×60 weight matrix. We have to find the dimension of dW Since, we know that…

Q: Given that A is a 1 x 7 matrix and B is a 5 x 1 matrix. (a) Is AB defined? If so, what is the order…

A:

Q: For a 2 x 2 matrix A a |A| = d|

A: For the given 2 by 2 matrix A, a is multiplied by d and b is multiplied by c .

Q: Give the value(s) of a for which the columns in the matrix 8. -4 4 A = -4 +а 5 -6 4 -6 10 + a are…

A: We will find out the required values.