4 Given matrix A = 1, find x such that the matrix is singular. a. 0 с. 3 b. 2 d. 6

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

A:

Q: 1. Given the matrix A below, [1 1 0 11 0 2 1 2 A = 2 10 1 l2 0 1 4 solve for det inv A.

A:

Q: [1 47 3 Let, A = 3 be a 4x4 matrix. Find det (A) and det (2A"A). 2 L4 3 1- O 0 o 2N. O502 2.

A: Remember the property of matrix that |A|=|AT| then simply find the determinant and do the…

Q: 3 91 Given a matrix A3 9 6 7] which of the elements aij follows the condition i=j. 9,9,1

A:

Q: 73 الوفت المتبفي م5 Tf A is a 3 x 3 matrix (a) has no solution (b) has exactly one so (c) is either…

A:

Q: 14. For what value(s) of k ER is the matrix 1 1 3 -1 k singular? (Hint: is A row-reducible to I?)…

A: Given matrix is A=11−12103−1k. We have to find the value of k for which matrix is singular. First of…

Q: 2P is a singular matrix then find the value of P. D M 3. If A =| K 3 S -P R L.

A:

Q: 9. Solve the matrix equation C-A(X - B) = D for X. Note that A, B,C, D, and X are all n x n…

A: Explanation of the answer is as follows

Q: 1. Given the matrix A below, 1 1 |0 2 A = 2 1 1 2 0 1 4 L2 0 1 solve for det inv A.

A:

Q: 123 A = 3 4 5 Given matrix A above, what is At?

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Q: 1. Given the matrix A below, r1 1 11 0 2 1 A = 2 1 L2 0 1 1 4. solve for det inv A.

A:

Q: -x -1 -x (d) Let A = 2 2 1 2 (i) (ii) Determine an expression for det(A). For what values of x will…

A: Given that the matrix  d A=-x-1-xx2x211e A=2345132453414235

Q: (2 -1) (4) Given matrix A 3 and that h(T) = T2 – 2T – 7, find h(T). 5 %3D

A: we have to find h(T)

Q: 1. Given the matrix A below, [1 1 0 2 1 2 A = 2 10 1 L2 0 1 41 solve for det inv A.

A: The solution is given as

Q: Use the elementary matrix E to find E A using an elementary row operation. [1 0 0 8 E = A = 1 0 0 0…

A: To find EA

Q: 1. Given the matrix A below, [1 1 0 2 1 A = 0. L2 0 1 solve for det inv A. 1214

A: In the question it is asked to calculate det inv A. We can write det(A-1) = 1det(A).

Q: Let A and B be -1 0 10-3 A = 10-3 -1 0 2 1 2 1 2 2 Find an elementary matrix E such that EB = A.

A: Given that: A=-10210-3122B=10-3-102122

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

A: Matrix Multiplication

Q: 4 .43 = メニX+エ Qz/ Asaume A- where I is A = and you= x 3. 2. unit Matrix Find yCA) ?

A:

Q: If A is n x n matrix and (I- A)² = I- A then O a. AT = A %3D O b. AT A = I O c. AAT = I Od. A? = A

A: We have to solve given problem:

Q: (2 -1 5). and that h(T) = T2 – 2T – 7, find h(T). (4) Given matrix A =

A:

Q: 7. Find values for x and y that will make the matrices equal. X = y = T AM H. 1 x+y 3+x 3. 4 -2 5y…

A:

Q: 2. Given the matrix A below, Solve for IAI-¹ A = 1 2 2 1 -1 3 4 6 3 5 2 -3 -3 8 7 4.

A: We have , A = 123424681357-12-34 We need to find , A-1 To find the inverse of matrix , augment it…

Q: A is akxl matrix with rank r and nullity n. If 2r + n = 10 which of the following cannot be the…

A: it is an application of rank nullity theorem.

Q: 4 Given matrix A = : 1, find x such that -2 the matrix is singular. а. О с. 3 b. 2 d. 6

A:

Q: Find the Frobenius norm of the given matrix. -15 10 /18 V18 A -5 -10 V18 /18 ||4|| = Ex: 6

A:

Q: 1. Given the matrix A below, г1 1 0 11 A = 1 2 2 1 L2 0 1 4 solve for det inv A.

A: Given matrix is

Q: 0 1 ,then the matrix is 1 0 (a)positive definite (b) negative definite (c) -Tx] [j1. Q29. If A =

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

Q: 2. Given the matrix A below, [1 1 0 11 0 2 1 2 A = 2 10 1 L2 0 1 4- solve for det inv A.

A:

Q: 3. Let A be n x n matrix that has zeros on the main diagonal and ones everywhere else. Example of a…

A:

Q: 3. Local pollution levels are determined by p(x;y) : R? –→ R', where r is the number of…

A: As per Bartleby guidelines for more than one questions asked only first should be answered. Please…

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

A:

Q: Q14. The matrix A= has A 0, then e" is [1 (a) 0 -4/ (d) 0 0 41 -41 0. (c) 4t (b) 1 (e) none 1 1

A: we have to find

Q: 1 1 0 1 Let A = and ,B= 2 1] |1 0 Find the matrix X for which it satisfies the equation A=BX 2 1]

A:

Q: 1. Given the matrix A below, г1 1 0 2 0 1 1 2 A 2 1 L2 1 1 4. solve for det inv A. ||

A: Let's find.

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…

A:

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: Given a 2 x 2 matrix A, let u, v be the solutions of ú= Au and u(0) = -H Define the (time-dependent)…

A: Given that, A is a 2×2 matrix and u and v are the solutions, such that, u˙=Auu0=10  and v=Av˙v0=01…

Q: 2. Given the matrix A below, solve for det inv A. A = 1 0 2 ¹2 0 0 11 2 1 1 1 0 1 0 1 4

A: Here we have to use the row operation method.

Q: Let A and B be -3 2 -3 2 2 1 A = 0 1 -1 B = 2 2 1 2 0 1 -1 Find an elementary matrix E such that EB…

A: We have to find the matrix E such that  EB=A. To find E we will find B-1 so that  E=AB-1. Post…

Q: 3. Find the matrix E-' where 1 0 0 E = 1 -4 0 1

A: Given problem is :

Q: (4) Given matrix A = ( 2 −1 3 5 ) , and that h(T) = T 2 − 2T − 7, find h(T). ??????? ??? ? (1) A…

A:

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

A:

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: Let A be a 5×4 matrix. What must a and b be in order to define T : Rª→Rº by T(x) = Ax? a = (Simplify…

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Q: 2. Given the matrix A below, solve for det inv A. A = 1 0 0 11 02 1 1 2 1 0 1 0 14J ¹2

A:

Q: MATRIX A Is axa T ElbENUALUES ARG -3 AルD a FWD CHE EI6EN. VALUES Fere A+3I IS

A: As we know that; If the λ1 & λ2 is eigenvalues of the matrix A then eigenvalues of the matrix;…

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.

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

A:

Q: 1. Given the matrix A below, [1 1 0 1] 0 2 1 2 A 2 1 0 1 L2 0 1 41 solve for det inv A.

A: Det(inv A ) =1/Det(A).