why cant we just multiply the 1/det(A) with the transpose of matrix like indicated in the red cyrcle?

Q: This is a linear algebra question Suppose A is a square matrix with Col(A) is a subset of Null(A).…

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Q: I want to know about change of basis matrix and what does it mean by diagonalization of a matrix.

A: Change of Basis:

Q: [4 -2] Let A be the matrix 1 Compute A50 1

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Q: Find the transpose, A^T, of te matrix.   A =     1 , 2 , 3            a , b , c          4x , 5y…

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Q: rewrite ax^2+by^2+cz^2+dxy+exz+fyz+gx+hy+iz+j=0 in  standard form by matrix

A: The objective of the question is to rewrite the given quadratic equation in three variables in…

Q: Find f(B)

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Q: If any three square matrices have the same size as A ,B,C AB=I and CA=I prove that A=C=A^-1

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Q: For matrix A and a scalar k, (kA)T is equal to: k(A^T) k(A) (k^2) x (A) (k^2) x (A^T)

A: We will solve the matrix operation.

Q: > LS A-8 null matrix ?

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Q: Explain the reason, why we factorize real matrix to get singular value decomposition ?

A: To Describe : Why do we factorize real Matrix to get singular value decomposition

Q: Find the charo cteristica poly no nomi the matrix A = 3. 3. /- P(x) = 1.

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Q: If A is diagonalizable through D= (P^-1) A P then the diagonal factorization of A = P D (P^-1)…

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Q: Find a 2 x 2 matrix C such that C^-1 does not exist. C = 0 (C can not equal the zero matrix), and C…

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Q: Find the matrix A of the linear transformation from R² to R³ given by 1 0 -8 x2. -4 x1 + 2 -6 T…

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Q: Let A, B, and A+B_ all be square invertible matrices of the same size. Show that (A +B')' = A(A+B)'…

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Q: Find 3 x 3 upper triangular matrix with determinant 1.

A: 3×3 upper triangular matrix

Q: If all the entries of a matrix A are integers and det (A) = 1 then the entries of A^− 1 (the…

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Q: Find a real matrix A such that A ^6 = (09, -90)

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Q: 1 2 3 1[1 1 07 M = 20 0 1 3|1 0 0

A: Write the relation M as a set of ordered pairs. If x,y is an ordered pair in M , then (y,x) is and…

Q: Given the matrix      A=       [4 -1   0   2] , then the trace of A^3 is?

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Q: Which of the following subsets of the sets in the set of real square matrices of size 2 x 2 is…

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Q: The following matrix product is used in discussing two thin lenses in air: (1 -1/f2 M where fi and…

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Q: Suppose

A: See the attachment

Q: Suppose A, B, and X are n x n matricies with A, X, and A - AX invertible and suppose (A - AX)^-1 =…

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Q: 1 For A = i 0 i 0 (1+i)

A: Using row reduction form we have

Q: Find x such that the matrix is singular. ^-[34] A = -6 -4 X =

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Q: why no matrix exists for one-to-one linear transformation from R^4 to R^3

A: Given: We have to prove no matrix exists for one-to-one linear transformation from R4 to R3.

Q: Find the matrix A (in terms of B, C, and D) if (4DA-'B )-1 = C

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Q: for part b), how can you multiply the E1^-1 and A as they are not the same size matrix? is that…

A: Given that encryption matrix A is of size 2 x 4.   Now, from rule of multiplication of matrices in…

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

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Q: IF a 4*5 Matrix A has rank 2 , find dim(Null A), dim (Row A) and Rank A^T

A: Using Rank Nullity Thereom,

Q: Let A = [0 1 0 0 ], A^(-1) is equal to: * Does not exist Identity matrix Null matrix

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Q: By using the Cayley-Hamilton Theorem, find e^(At) of the following matrix A = [1 2;-2 -3].

A: Given information Matrix :- A=12-2-3 Find eAt using Cayley-Hamilton Theorem.