Find the matrix C such that BC = AT

Q: Construct a 3 x 3 triangular matrix A so that 1] the vector 2 is in Col A. 3]

A: We know every lower or upper traingular matrix is a triangular matrix.

Q: Find a 2 x 2 matrix A for which {;}. 5 E1 = span = span

A:

Q: A? 0 0 A =

A:

Q: What is the Jacobian matrix J(xk) equal to?

A:

Q: Find x such that the matrix is singular. 4 A = -2 -6

A:

Q: Find x such that the matrix A is equal to its own inverse.

A: We have A=-2-33x Now, A-1=1AadjA For a 2×2 matrix A=abcd, we have A=ad-bc  , adjA=d-b-ca Hence, for…

Q: Let the matrix below be Anti-symr

A: Anti symmetric matrix is also known as skew symmetric matrix.

Q: Assuming that b # 0, find a matrix that orthogonally diagonalizes a= [: :] P

A:

Q: For the matrix A , use the Cayley­Hamilton Theorem to compute A -1 and A -2 by expressing each as a…

A: According to Cayley Hamilton theorem, any square matrix satisfies its own characteristics.

Q: Find x such that the matrix is singular. 4-[94] A

A:

Q: Find a matrix A such that W = Col A. W [2s-5t] 2t 2s+t :stin R

A:

Q: Find the change of basis matrix from B1 to B2. -1 2

A:

Q: Find three values of c for which the matrix C is not invertible.

A:

Q: Prove that for any matrix A ∈ Mm×n(F), (R(LA∗))⊥= N(LA).

A: The objective is to prove that

Q: Find a diagonal matrix D and a nonsingular matrix P such that D= P-'BP.

A: A matrix is a mathematical object containing numbers arranged in rows and columns. The eigenvector…

Q: Find x such that the matrix is singular. A- -2

A:

Q: * Find the Matrix B from order 2 x 4 , Its elements are written in the form by = i + ()

A: Here we find matrix B of order 2×4

Q: Find the two by two matrix A such that A -

A:

Q: ind the 3x3 matrix that is equivalent in it's action to each of the

A: Given: To find 3×3 matrix that  equivalent to the symmetry operators are, a  S^2zb  C^2z

Q: If A is an invertible n X n matrix, show that adj A is also invertible

A: Given: To Prove: Concept: 1. 2.

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

A: Now the transpose is,

Q: Find the inserve if it exists, of the following matrix. 1 -1 2 1 1 1 1 2

A:

Q: For each matrix A with real valued entries, find a diagonal matrix D and an invertible matrix Q such…

A: These 2 are unrelated lengthy problems,by Chegg policy I have to solve only first one. These 2 are…

Q: let B- 8. find a triangel ar matrix A such that

A: A triangular matrix is a type of square matrix. These are of two types:  Lower triangular  upper…

Q: Find the canonical form B and an invertible matrix P such that P−1AP = B.

A: In this question. we find the invertible matrix P and B such that P-1AP=B

Q: Let A be an m × n matrix of rank n and let P =A(ATA)−1AT . If b ∈ R(A)⊥, show that Pb = 0.

A:

Q: Find a (2x2) singular matrix A that maps (s1, ss) into (s2, s6).

A:

Q: Find the matrix P that multiplies | y| to give P = א א

A:

Q: Find the inserve if it exists, of the following matrix. 1 2 1 1 1 2

A: The give matrix  is, 1 1 -1 2 -1 1 1 1 2 The determinant of the above  matrix is,…

Q: () (:) Find the matrix A satisfying A and A and write the SVD of A in 2. vector form. [Hint: Start…

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

Q: Given A = [010; 0 0 1; 0 0 0], B= [0; 0; 1J, Calculate the rank of the Controllability matrix

A:

Q: Let B = and B' = Find the change of base matrix from B' to B and from B to B'

A:

Q: Find x such that the matrix is singular.

A:

Q: Find the coordinate matrix of x in RM relative to the basis B'. B' = {(8, 11, 0), (7, 0, 10), (1, 4,…

A: Given that, B'=8, 11, 0, 7, 0, 10, 1, 4, 6 and x=5, 34, -2

Q: Find SVD for the matrix A=[1 2;2 1].

A:

Q: Find a matrix P that diagonalizes 1 0 0

A:

Q: . Find the standard matrix of T.

A:

Q: Find h and k, consistent: which makes matrix t. 6ud Sua = k |

A:

Q: 6 X1 -1 -5 X2 II

A: Let us consider the system of differential equation X'=AX then the solution of system of equation is…

Q: Find a 3 x 3 matrix A such that Aa = 9x for all a in R³

A: We have to find matrix A such that Ax = 9x

Q: Find two nonzero matrices A and B such that AB= 0

A:

Q: Find matrix C

A:

Q: Find two different 2 x 2 matrices A such that 1 0 A? =

A: Given: A2=1001

Q: Find the singular values of the given matrix.

A: Consider the given matrix, A=2102

Q: Find all a and B >0 so that the matrix B = 23 6 2 is diagonally dominant;

A: A square matrix is diagonally dominant if   for .

Q: Find x such that the matrix is singular. x 5 A = -3 2

A:

Q: Find x such that the matrix is singular.

A:

Q: Find x such that the matrix is singular. A = -3 -6

A:

Q: - L

A: Given that A=42-12 Take  A-λI=04-λ2-12-λ=0(4-λ)(2-λ)+2=08-6λ+λ2+2=0λ2-6λ+10=0λ=6±36-402λ=6±2i2λ=3±i