Ex. 600. Given the 2x2 Matrix A 1 2 11 3 Determine B=A+A and C=A-A Answers: B(1,1),B(1,2),B(2,1),B(2,2),C(1,1),C(1,2),C(2,1),C(2,2) Ex. 610. Given the 2x2 Matrix A 4 1 5 3 Determine B=A*A Answers: B(1,1),B(1,2),B(2,1),B(2,2) ans:4 Ex. 615. Given the 2x2 Matrix A 43 15 Determine B=transpose(A). Answers: B(1,1),B(1,2),B(2,1), and B(2,2) ans:4

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

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Q: .7 6Jand |B| = HA|, which matrix is matrix B? %3D O A. [1 L6 3 О в. c. [12 !1 [13 OD. [ 4

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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

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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.

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Q: . Which matrix, when multiplying another matrix on the left, permutes rows two and three of the…

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Q: Given the following matrix: Identify the solution   1 -1 3 7 2 1 1 4 -3 2 -2 -10 x= y=

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Q: C is a 3x 3 matrix with C11 = C2 = C33 2, all other entries are 0. C'C has an entry of in the 2nd…

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Q: Find the numbers of the pivots to the matrix below: 2 1 1 1 2 -1 0 1 4 4 4 -3 11 O 4 O 2 O 3 O 1

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Q: Factor the matrix from the previous question into A = QAQ", where Q is an orthogonal matrix. [1 A =…

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Q: Suppose that B is a square matrix with det(B) = -2. Find each of the following. (a) det(B6) = (b)…

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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…

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Q: Let A = 1.8 -6 : J.c = , ].- [1 2 l4 5 6] [1 0 lo 1 [0] ol.C = 6 , and V = |1|. What is the sum of…

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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…

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Q: Q1: Given that A = [3 -3 -5] and B = 5,what is the matrix A- BT?

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

A: We use properties of matrix

Q: 2). For what values of t, the following matrix will be singular (7%4) t - 1 1 -2 t + 2 -1 t+1

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

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Q: - 7 12 - 14 9A = 1,3,4 12 - 18 13

A: We are given matrix A and eigen vectors 1,3 and 4. Then step1. Find eigen vector corresponding to…

Q: 1 Diagonalize the given matrix if possible: A 4 -1 1 0 4 0 D = and P 0 2 1 3 4 4. D = 1 and P = -4…

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Q: If A is an nxn matrix and B is obtained from A by performing the following elementary row operations…

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Q: Use A-1 =(1/detA)adj A to compute the in­verse of the coefficient matrix x + y = 1   x-y=2

A: x+y=1 x-y=2 We need to find the inverse using A-1 =(1/detA)adj A

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

A: Matrix Multiplication

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

A: Now we will find h(A)

Q: -2 Find C, where matrix C = [3/2 -1/2

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

A: see 2nd step.

Q: If the dimension of matrix A is mxn, and matrix B is nx p, then AB is? (А) mxp B pxn c) nxm D) рхр

A: If the dimension of matrix A is M×N And matrix B is N×P

Q: by Di is 3 x 4, D2 is 4 x 7, D3 is 7 x 2, and v is a vector in R?. D,D2D3v is which is a (matrix,…

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Q: What is the matrix corresponding to 2x – 4r122+ r + 2 + 6x1T3? Select one: 2 4 O A. -4 1 3. 2 4 6 O…

A: Here we will find the corresponding matrix for the given expression,

Q: if A is a 3x3 matrix and det(3A^-1)=9, then det(A) is

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

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Q: Find the matrix A (in terms of B and C) if (3.4T + 4BC )T= 5.4 – 3C A)}(4B"cT + 3C) (B)}(4C"BI- 3C)…

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

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Q: Let A = B = lo ĭ [1 2 [1 0 and V = |1|. What is the sum of the entries of the C = 14 matrix V" (A" –…

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Q: Which matrix is of the reduced echelon form? Oa. (1 2 04 0 0 2 7 Ob. 1 2 5 0 13-7 10 1 0 0 0 01 0…

A: To find the reduced echelon form of given matrices.

Q: * Show that if R3 of B (where B is some matrix) is replaced by R3 + R3 – 4R1 the result is EB, where…

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Q: Find the matrix A if 3 (АT — 21) -1 1 2 2 -2 -2 1 (c) А %—D - (а) А (b) A = %3D -1 1 11 -1 5 [ 1 -2…

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

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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: f A and B are 6 × 3 matrices, and C is a 7 x 6 matrix, which of the following DA. BC В. А + С C. CB…

A: All the parts are solved below.

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: Find the matrix A given that -1 2 (I2 + 2A)–1 4 5 O a. 1/13 2/13] -5/13 O b. [-1/13 5/13] 2 -1 4/13]…

A: The given equation is:…

Q: Find Hhe uinuerse of the matrix (if it exis ts). (if an answer does not exist, enter DNE.) 1 -3 -1…

A: Note:-  We’ll answer the first question since we answer only one question at a time. Please submit a…

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

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Q: -2 ky For the matrix A 2 if JA| = 0, what is the value of k? 3/

A: C.   -3 D.    Both B and C

Q: Suppose B and D are the following two bases for P2: B=|4x²-4x-2, ²-4x−2, 3x²-x, −3x−3] D= [-3x−3,…

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Q: Let A be a 4 x 4 matrix with ladj(A)l = -8 , then 2A.adj(2A) = (where l4 is 4 x 4 identity matrix)…

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Q: 12. Let A be a 3×3 matrix, and suppose that the matrix B is obtained from A by the following row…

A: Remark: Effect of elementary row operation on a matrix: If two rows of a matrix are interchanged,…

Q: Consider the following matrix: P = B = D= b3 Then the [P] is: ral a2 00 a3 a4 0 0 b1 b2 dl d2 Lb3 b4…

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