If A = BxC, find matrix A. 2 1 1 -3 -2] C = -2 -1 B = 2 0 1 ] and 3 O A) 2 A = 7 2 4 7 O B) -6] 2 6 A = 2 0 0 O C) No solution. O D) A = 0 3 4 1 3 0 O E) 7. A = [2 4]

Q: Consider the following matrix 14 -1 -3 2 7 1 -2 A = 1 0 3 2 -3 -5 Find an LU-factorization of A. A…

A: 2.(b) Given matrix is                                                    A=14-1-3271-21035-12-3-5

Q: A, 2x2 tipinde tekil(singüler) bir matris olmak üzere A.Ek(A) matrisi aşağıdakilerden hangisidir? A…

A: We're going to solve

Q: Construct the augmented matrix that corresponds to the following system of equations. …

A: Explanation of the answer is as follows

Q: • The Matrix B from 3 x 2 at by = 1- is 1. 3. 4. 1 -2

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Q: Construct a 2 x 3 matrix A such that the solution set of the equation Ax = 0 is a line in R3.

A: a)       Result of a system with 2×3 coefficient matrix is a line when system has one free variable.…

Q: Determine whether the statement below is true or false. Justify the answer. If A is an mxn matrix…

A: I assume you know what is an argument matrix and what is rank of matrix .

Q: Construct the augmented matrix that corresponds to the following system of equations. {…

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Q: find an LU factorization of the given matrix.

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Q: Find a 2 x 2 orthogonal matrix P whose first row is a multiple of (a) (3,–4), (b) (1,2).

A: Result: Rows (columns) of an orthogonal matrix are an orthonormal basis. Hence, each row (column)…

Q: If A is 3 x 5 matrix with rank 1, then the number of special solutions to Ax = 0 is %3D O is

A: Since the rank of the matrix = 1. So the number of free variables = 5 - 1 = 4.

Q: |a b X y m nl

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Q: 2. (a) Express -2+t+t +r' as a linear combination of 1-t, 1+r, and 1+1- or show that it cannot be…

A: We have to write in the linear combination.

Q: Show that the matrix equation has no solution.

A:

Q: 4. Find the symmetric matrix, diagonal form of the quadratic form Q = 2x? + 2y2 + 2z2 – 2xy – 2xz –…

A: Step:-1 Given quadratic form is  Q=2x2 +2y2 +2z2 -2xy -2xz -2yz Q=xyz 2-1-1-12-1-1-12 xyzQ=XTAXHere,…

Q: O Show that the secular equation for an arbitrary 2 x 2 matrix ( ) can be solved exactly by a…

A: Please check step 2 for the solution.

Q: Let 2 -1 | -1 2 -1 -1 -1 -1 -1 –1 -1 2 -1 2 be the Eç Cartan matrix corresponding to the simple…

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Q: Find a 2x2 matrix that forms an angle of n/3 cadians with the matrix P -- (: 9) 2 0 0 2

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Q: in number 1, B is the matrix representation of Z with respect to B only, not B and B'. The formula…

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Q: and that h(T) = T² – 2T – 7, find h(A). The questions should read as attached. Change made at the…

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

Q: 2 if A=| -3 -2 4 and B= 1 ,find the Matrix X such that 3A+4X=5B 1 3

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Q: Consider the matrices A = [₁, B = 3₁ C= ¹), D=1 K₁ = [5], K₂=[₁²2] Solve AX + BY = K₁ CX + DY = K₂…

A: Concept: We have the matrices A=3211 , B=0110 , C=111-1 , D=11-14 Now the matrices X and Y are…

Q: I, explain why BTB must be symmetric for any n × m matrix B. (If yo

A: We will prove that the matrix Is symmetric as following.

Q: Use a software program or a grapning utility with matrix capabilities to JAT, TA'T, 1A-I, 12AT, and…

A: Given: A=4-215382-1689225-10

Q: Explain why the columns of an nxn matrix A are linearly independent when A is invertible. Choose the…

A: The columns of an n×n matrix A are linearly independent when A is invertible.

Q: The Matrix B from 3 x 2 at b = 1- - is %3D 1. 2. 3.

A:

Q: Let A be an m×n matrix such that Ax​=b and Ax​=c each have a solution for some choice of b and c in…

A:

Q: Consider the following matrix 1 4 -1 -3 1 -2 2 7 A = 1 0 -1 2 3 5 -3 -5 x2 Ах b, where x = and 1 7 b…

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Q: Show that the matrix; is singular

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Q: For the MAtrix       1 -2   4 A= 2   0   6       3   7   3 what is the vlaue of |A|

A:

Q: Verify by direct calculation that the matrix -2 -3 -1 A = 1 %3D 3. 3. satisfies the Cayley-Hamilton…

A: by cayley Hamilton theorem , " matrix satisfied its own characteristic equation " now to satisfied…

Q: 3 2 2 3 1, find the matrix B Such that AB = 5 3 4 3 4 2 1 6 1 5 6 4 , If A = 1

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Q: نقطة واحدة Show element equal to 18 in the * matrix Y Y= 2 5 7 4 8 3 10 20 30 12 14 16 18 Y(18) O…

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Q: • The Matrix B from 3 × 2 at bj = 1 - is го 1. 2 2. 7 3. -1 4. 1 1 -2 2 3 4

A: concept of matrix  bij=1-i/j , the entries of matrix B is b11,b12,b21,b22,b31,b32

Q: The order of the single matrix obtained from 1 1 -1 To 1 23 is 1 0 21 -1 0 2 2 0 3 2 (a) 2 x 3

A: Here the order of the matrix needs to find out for both terms. Subtraction and addition won't affect…

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)…

A:

Q: Suppose A is rectangular ( m by n) and S is symmetric ( m by m).(a) Transpose AT SA to show its…

A: Given: Matrix A is rectangular ( m by n) and matrix S is symmetric ( m by m).

Q: Give an example of a matrix A such that (1) Ax=b has a solution for infinitely many b ∈ R3 but (2)…

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Q: Give a 3 x 3 elementary matrix E which will carry out the row operation R + Ry. E = Test that E…

A: The elementary matrix E with the raw operation R1↔R3 is: E=001010100 Because it the matrix obtained…

Q: O If A is possi ble value of dim Nul AT ? Please explain an 8x 5 matrix, what is

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Q: 3- If A² [45] [95] 091 (1 find A where A is UPF triangula matrix

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Q: Suppose that A is a 3×3 matrix and det (A) = -4. What is det (4A)?

A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: Is the answer in #1 and #3 not in matrix form? how so?

A: Remember : eB represents coordinate matrix of e with respect to basis B. Which means if we consider…

Q: Show that if A is an n × n matrix, then det(AAT ) ≥ 0.

A: Given, A is a n x n matrix. Let AT be the transpose of A. To prove det (AAT) is non-negative.

Q: independent

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Q: If A is a matrix in Rmxn with {()} -5 C(A) = span 2 %3D -2 what is m?

A: If A is a matrix in R^(m×n) then A is a linear transformation form n to m

Q: Suppose A = is positive definite matrix then: 10 O a. Ja| V20 O c. la| < 20 O d. a < -V20 2.

A: Since positive symmetric metrix Det(A)&gt;

Q: Find an LU factorization of the matrix A. 3 -1 3) A- - 18 1 0][ 3 1 A) A= B) A = 10 3 -1 0-3 -6 1 0…

A:

Q: let A be an mxn matrix and v and w vectors in Rn. If v and w were both solutions to Ax=0, show that…

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Q: Show that A is similar to B by showing that A and B are similar to the same diagonal matrix, where…

A: