A matrix A is define as A = cofactors of A H33 1 5 −1 6 -2 4 -7. Form a matrix B of the

Q: Find an LU factorization for the matrix A = -2 3 4 1 -3 0 2 3-2, Verify that LU = A.

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Q: Find the 2, 3-cofactor of the matrix 1 2 0 0 2 1 -1 7 -3 0 0 0 7 1 0

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Q: If you know all 16 cofactors of a 4 by 4 invertible matrix A, how would you find A?

A: Given, an invertible square matrix A of order 4, and we know all the 16 cofactors of this matrix.…

Q: Prove that (A + B)² = -(A + B) in matrix..

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Q: let Q(x)= x12 -8x1x2 -5x22 , then matrix A of the quadratic from is A=?

A: Explanation is given below..

Q: which of the following is the cofactor A13 of matrix?

A: Simply omit that raw and column whose co-factor matrix required and write rest all elements in same…

Q: T:R→ R, 上X T2-2x3 C4 VTエA

A: Given that the  transformation :-

Q: Let I be the rdentity of nxn. Please Compute 3. matrix the matrix funct ions CosT I (i²=-1)

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Q: uppose is the quadratic form Q = x Ax, where A is the symmetric matrix A = 2 he quadratic form is…

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Q: Show that ∣A∣ = ∣AT∣ for the matrix below.

A: Now the transpose is,

Q: For each 2 x 2 real matrix A find the canonical form B and an invertible matrix P such that P-1AP =…

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Q: Determine all the n × n− matrix A with the range such that A2 = A.

A: Clearly the zero matrix and identity matrix are the trivial examples of our problems. However there…

Q: Let A be a 2 x 2 matrix a If ad – bc + 0, then A-1 ad-be ad-be ad-e ad-be. such that [1 AA-1 = A-'A…

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Q: Find all real numbers a, b for which the matrix A nalizable in R. = ( 1] is diago-

A: We have to find all real numbers  for which the matrix  is diagonalizable in

Q: Prove that matrix Y is obtained from matrix X. Identify the property of determinants and prove |Y| =…

A: Y=4-984261-25X=1-3-74261-25 Y is obtained from X as shown below.

Q: Let z be a real number and let A be the matrix 2 I A - (-34). -2 i. Find all values of r such that A…

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Q: Let I be the 2 x 2 identity matrix. What is det (-41)?

A: The given data is:  I be the 2×2 identity matrix  To find det-4I Given:  I be the 2×2 I=1001

Q: Find a 3 x 3 matrix A such that A A A A = 1 4 0 = 2 0 -1 B-B EL. 0 2 1 = -3 and 0 -5 0 -5 B-B 0 -5 1…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Give an example of a 3 x 3 matrix A such that Nul(A) # {0}.

A: Let T:ℝ3→ℝ3 be a linear transformation defined by T(x,y,z)=x-y,y-z,z-x Therefore Ker T=x,y,z∈R3:…

Q: Use an inverSe matrix to Solve the given SyStem of epearkons. X, + X2=4 2X, - X2 -14

A: Here the given system is: x1+x2=42x1-x2=14 The system in matrix form can be written as:…

Q: Let A be a 4x4 matrix and det(A)=2. Find det(2A-)'

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Q: C be the matrix defined as a₁ an C = a-1 9₂ az az a a₂ a, a az a4 1 A an an-l an-2 a₁

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Q: 13. Find all 2 x 2 matrices A = (" such that A? %3D

A: Image is attached with detailed solution.

Q: Let A be the n × n matrix given by Show that det (A) = (a - 1) n − 1(a + n - 1)

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