For matrix A = 1 4 and B = 1 1 find BA, if it is defined? 4 15 6. 24 42 43 В. 39 А. 7 17 30 18 17 31 C. (39 (11 28) 39 43) D. BA is undefined elect one: O A O B A.

Q: Given the matrix 4 3 1 0 0 2 0 0 7 Which of the following statements is %3D 21 p1755 290 true? 1755…

A: To find Which of the given statement is true.

Q: 2 Suppose A = is positive semi definite matrix then: a 10 O a. Jal < 20 O b. a <-v20 Oc lal < v20 O…

A: Suppose A=2αα10 is a positive semidefinite matrix then which of the following is correct.

Q: How many free variables does each augmented matrix have? 10 8 01 9 0 0 0 -3 Select an answer b. 1 0…

A: Answer

Q: |8 3 | 2 7 al, where a is tity matrix, its %D

A:

Q: 3. Let A = 1. ). Compute eat in two different ways: (a) by exponentiating the equivalent diagonal…

A:

Q: Consider the following statements. je 19 0fl 1-|n f 0 = Ip e |2a 2b 2c| f= 0 2- d e a b 3- consider…

A: We have given three statements and we have to check which of these are true or not. We simplify…

Q: (16) Which of the following is a symmetric matrix? (Select all correct answers) ro 1 21 O1 0 1 l2 0…

A:

Q: 12 Let A be a square non-invertible matrix. Which of the following is not true? Select one…

A:

Q: 1 Given the matrix A = find det(A). -4

A:

Q: Decompose the given matrix as indicated: [25 5 4 10 8 16 = 1 0 0| 41 12 13 l21 C31 32 1 1 0 0 12 22

A:

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: (4) Let A E R™xn be any matrix. Solve the following problem min ||AX – I||r Hint: Write X = [x1,...,…

A:

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: 1 0 0 0 1 0 9. Suppose M Which matrix is M1? %3D 0 3 1 1 00 1 3 0 0 1 0. -3 0. 0. 1 O (1 0 0 0 1 0.…

A: Finding inverse of M

Q: Suppose that A is a 4 x 4 matrix and that det A = 2. Further suppose that if 2 Bis the matrix formed…

A: It is given that A is 4×4 matrix and det A = 2. By using Cramer's rule the system Ax = b. where A is…

Q: 1 4 Let A= and let B be an unknown 2×2 matrix. Calculate det B given that 1 2 det(AB)= 32.

A:

Q: 1004 [1 II) |0 1 2 Lo 1] I) |0 1 03 0 0 12. 1 1 2 4] IV) 6 3 4] III) 0 12 8 0 0 2 6

A: We have to check which of the given matrix is inconsistent when we solve with Gauss-Jordan or Gauss…

Q: **15. Suppose A is an m × n matrix and x e R" satisfies (AA)x = 0. Prove that Ax = 0. (Hint: What is…

A:

Q: Find the matrix A given that 1 2 (I +2A)-1 4 5. O a. 4/13] 1 -2/13 13 O b. [-9/13 1/13 2/13 -6/13…

A:

Q: h(T) = T 2 − 2T − 7,

A:

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: - 2 Determine det D, adj D and D for the matrix D = 1 2 3 - 2 -1 -2 3

A:

Q: 2. Decompose the given matrix as indicated: [25 5 4] 10 8 16 8 12 22 1 Answer:

A:

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: 13 To 2] Let the matrices A 3 4 and B- (7 6 Find the matrix C which satisfies A+ B-C = 0 10 3 57 b)…

A:

Q: Given the matrix A = Matrix B is obtained from A by multiplying a row of A by -5, then det(B) is ___…

A:

Q: 3) Identify the element in the matrix. [O 2 4 6 X =0 3 6 9 0 48 12 X2,4 =h X3,2 %3D X3,4 %3D

A: NOTE: Refresh your page if you can't see any equations. . the element at the second row and fourth…

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: -14 12 Find P which diagonalizes the matrix A = m m ww ww mw - 20 17 1 1 5 P = 3 4 4, 1. O 1 2 3 5 P…

A:

Q: Find the elementary matrix E such that EB = A where 2 4 1 4 A = 2 -2 9 -8 -1 and B = -4 4 2 4 9. -8…

A: NOTE: Refresh your page if you can't see any equations. .

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

A: Matrix Multiplication

Q: 7. Let A, B and X be square matrices of the same size. Using the algebraic properties of matrices to…

A:

Q: 1 1 2 1 1 and B = 1 1 2 1 Let A = -1 -4 1 -2 -2 5 -4 1 -6 5 -4 1 2 4 -2 To show A ~ B, it is…

A: Given that A=11211210-1-41-21-25-4B=102012101-65-4204-2 To prove : A~B If two matrix A and B are…

Q: 15. If A=| B = 0 1 and C = |1 0 then find the matrix (Av B) 0 c

A:

Q: 1 1 1 A =1 1 1 1 2 1 . How many nonzero elements are there in the adjoint matrix of matrix A?

A:

Q: 2 302 Find the value of a+b for which the matrix A is symmetric, where A= 3 400 0 0 1 2 |b0 a 1.0…

A: For symmetric matrix,    aij = aji     Therefore,    a = 2 b = 2

Q: Find an elementary matrix E that satisfies the stated equations. 8. 1 5 8 5 8. 1 5 B = 2 -7 D -6 21…

A:

Q: Suppose that A is an n x n matrix and det(A) = 2, det(A +I) = 3, and det(A+2I) = 5. Compute the…

A:

Q: Find the elementary matrix E such that EC = A where [5 4 A = 4 -1 -1 and C = 8 -7 1 4 4 -1 4 12 -23…

A:

Q: The matrix is defined as A=(²₁ 2¹) has characteristic equation of 2² + DA + 3, so the value of D is.…

A:

Q: 3 4 and its cofactor matrix is C = 5 6 Suppose A and if Dis the cofactor matrix of C then: az az =…

A:

Q: 1 0 21 21 4. If M = -1 3 4 and B: = 3 4 078 L5 61 Find the matrix C such that MC = B.

A: To find- If M = 102-134078 and B = 123456 Find the matrix C such that MC = B

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

A:

Q: 2 1 Which of the following is the matrix C that satisfies the equality (CT- 412). 5 3 (:) -1 3 (a) 2…

A:

Q: 2 Suppose A = is positive semi definite matrix then: 10 O a. a < -V20 O b. a = ±v20 O c. lal < 20 O…

A:

Q: Find the elementary matrix E such that EB = A where 2 1 3 1 A = |4 -1 -2 and B = –16 4 8 9 -7 4 9 -7…

A:

Q: [1 Given the matrix A= , then the value of det(AAT) is: Lo Select one: O a. -9 O b. 10 O c. -10 O d.…

A:

Q: 1. A is a 22 matrix and det (A) - 4. what is det (3A)7 O 12 O 24 O 16 O 36

A: det(A)=4

Q: 1. If A is 3x3 matrix with det(A) = 5 then det(3A) %3D O 3(5)=15 9(5)= 45 O 27(5)= 135 5(5)(5)= 125

A: