For which value of k is the following matrix NOT invertible? [1 2 3 1 A = 0 -3 -4 5 -4 k 1 -1 7 3 1 -2 8

Q: -1 Give the co-factor of matrix C, where C = 1 2 1 1 5 2 1 1 -1 2 -4 5 2, -1 3 1 B -2 6. -2 3 -9 3…

A: Given,            C = 1-1-4125112

Q: find the values of k for which the matrix A is invertible. [k – 3 -2 15. A = -2 k – 2] [1 2 4 17. A…

A:

Q: Find the characteristic equation of the matrix: 4 C = 2 -2 2.

A: Characteristic equation of the matrix C is given by  det ( C - λI ) = 0

Q: x+2] is an invertible matrix, t 4 LA 2х-3 х+1

A: If A is an invertible matrix than determinant of A is not equal to zero.

Q: The dimensions of the following matrix is: 2 6 11 4 7 8 1 0 6 7 4 2 [ L6 1 9-

A: dimensions of the matrix261478106742619

Q: Given the partitioned matrix A = [ B]. B]₁ C D in which B and C are invertible. Which of the…

A:

Q: Consider the following 3 x 3 matrix A and b in R, 1 -4 8 | A = 2 -3 2 1 5 -8 1

A:

Q: For which value of x is the following matrix not invertible: 1 1 3x A = 3x 3x 3x 3x 3x O 2 4 O1/3 1

A:

Q: Suppose A is an n x n matrix and B is an invertible n x n matrix. Simplify the following: a) (BAB)?…

A:

Q: 2. А %3D [0.7 0.1 Lo.1 0.7

A:

Q: Some of the entries of the 3 x 3 matrix A are known as A -1 1 If det (A) = -–6 and A-1 find x.

A:

Q: Find values of a for which the following matrix is not invertible: 1 a+ a 2

A: 1a+1a-24

Q: 3. Find the matrix X, such that XC - 2C = DXC satisfies. 3 4 4 4 1 C = 1 2 1 D = 1 0-2 4 1 -1 -3

A: Since there are multiple questions, we are solving the first question. Please post the questions…

Q: For what value(s) of k is the matrix kk 01 k² 2 k 0 k k

A:

Q: 2. Suppose that A is a 3 x 3 matrix that satisfies A = A 12 (a) Show that the rank of A is at most…

A:

Q: Invert the following matrix 3x - 2y = 9 -x + 3y = 3

A: The question is to solve the system using the inverse of the coeffiecent matrix. Here, the…

Q: Find values of a for which the following matrix is not invertible: 1 a + 1 4] 2

A:

Q: Invert the following matrix 3x – 2y = 9 -x + 3y = 3

A: Solution: Consider the given system of equations: 3x - 2y = 9-x + 3y = 3 The coefficient matrix of…

Q: A matrix A is similar to matrix B, if f invertible matrix P, B = P'AP. Prove is similar to B and B…

A: Given that: A is similar to B such that: B=P-1.AP.

Q: 2 1 Which of the following is the matrix C that satisfies the equality (CT – 4l2) 5 3 -1 3 (a) 2 -5…

A:

Q: For which three numbers c is this matrix not invertible, and why not? 2 с с A =|c 8 7

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: [1 1 1] L3 -2 3 1[k [k 1 1 -2||1 = 14 1

A: Given,           k11·10301-23-21·k11=14To find : The value of k that satisfies the following matrix…

Q: For which value of x is the following matrix not invertible: 1 1 2x A = 1 2x 2x 2x 2x 2x 4 1 -1 1 2

A: For a matrix A to not be invertible: dat(A) = 0.

Q: If an n x n matrix A satisfies A? – 3A+ In = 0, then %3D O all the other responses are false. O A-1…

A: An n×n matrix A satisfies A2-3A+In=0

Q: The Matrix A =| -1 2 is not invertible. 0 1 O True O False

A: Given: Matrix A is given as follows: A=-1201   Invertible matrix definition: A matrix is said to be…

Q: Let A, B, and C be invertible matrices. Then (4BT A-1C²)-1 is equal to None of the mentioned equal…

A:

Q: Find the value of k so that matrix A singular. 1 1 1 -k A = 3 2 -6 -2 2k O 1 3 O None of the above

A: topic- matrices and determinant

Q: 7. The rank of an identity matrix of order n is: А. п - 1 В. п C. n+1 D. 0

A:

Q: Given a matrix A = for what conditions on a, b, c, and d will the matrix not have an inverse?

A:

Q: nd the value of k for which the matrix 6. -10 A = 6. 17 4. has rank 2.

A:

Q: 2. Find the values of k for which the matrix B is invertible. -2 B= 0 k 1 3 2 1 4 -1

A:

Q: Find all the values of k for which the following matrix will be singular. 1 1 -1 0 k -2 k 3

A: A matrix is said to be singular if its determinant is 0.

Q: 3. Show that for any n x n matrix A of rank r, we have ||4|| < ||4||ES VFl|4||.

A: To show that: A≤AF≤ rA  for any n×n matrix A of rank r.

Q: One of the following is not an elementary matrix 100 100 a) 010 b) 060 00 1 001 100 001 c) 012 d)…

A:

Q: Find the values of k for which the matrix B is invertible. B = -2 1 0 2 k 4 3 1

A: We need to determine the values of k for which the matrix: B is invertible.

Q: Find the values of k for which the matrix A is invertible. k – 3 -2 (а) А— -2 k 2 1 2 4 3 1 6 k 3 2…

A:

Q: Which of the following is an elementary matrix? 1 0 1 В. 1 C. 0 0 1 A. 5 1

A: Given : Matrices A.  10-51 B. -5110 C. 110001000 D. 2002010000100001   To find : Which of the…

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

A: Let the given matrices are, Give that ED=C

Q: For which values of the parameter a (if any) is the matrix invertible? Justify your answer. [1 07 а…

A: A matrix is invertible if and only if its determinant is non-zero.

Q: The matrix V3 1 A 13 is an orthogonal matrix. True False N]- N

A:

Q: •(b) A = B:

A: Given,        A=-1201,   B=1-201

Q: For what value of "c" is the following matrix non-invertible? 2 1 -1 5 4 C 3 0 Oc = - 1 3 Oc = -3 Oc…

A:

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

A:

Q: If the matrix M=( 1 0 0, x 2 0, x^2 x^3 x ) is not invertible, how many possible values of “x” are…

A: To find out when the given matrix is NOT invertible

Q: 4. The adjoint of the matrix A=1 2 0 3 1 is b. -1 10 0 -15 -2 4 -1 -1 -5 -2 d. Sone of these c. -1

A: A=20-1120311 first, we need to find the minor matrix M1, 1=det2011:  2 M1, 2=det1031:  1 M=1,…

Q: If the product M = ABC of three square matrices is invertible, then B is invertible. (So are A and…

A:

Q: Find k for which the matrix below is NOT invertible. 1 1 3 -1 2 1 k

A: For matrix to be non-invertible, it's determinant must be 0. We will use this property to find the…

Q: (3) Consider the matrix [1 k 31 A = 2 4 -6 2 For what values of k is A invertible?

A:

Q: For which value(s) of k does matrix A fail to be invertible 1 8 4-k 12 2k – 4 1 2 A = 8 4

A: Consider a matrix