2x1- 3x2+ 2x3= 9 3x1- 2x2+ X3 = 4 X1 - 4x2+ 2x3 = 6

Q: For back substitution with a band matrix (width w ), show that the number of multiplications to…

A:

Q: find the inverse matrix

A: As per the question, we have to form a 3×3 matrix, given the unique symmetrical elements of YBUS(s)…

Q: a) For invertible matrices A, BER"Xn, show that ((AB)")- = (A-)"(B)".

A:

Q: Find Full SVD and Reduced SVD for the matrix 1 0 1 1 0 1 1 A =

A:

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

A:

Q: let Amxn matrix , c scalar If cA=0, then Select one: a. c=0 and A=0 b. c=0 or A=0 C. C0 or A=0

A: WE have to check the meaning of cA=0.

Q: By trial and error find real nonzero 2 by 2 matrices such thatA2 = -I BC=O DE= -ED (not allowing DE=…

A: In this question, we have to find real non zero 2 by 2 matrices A, B, C, D and E by trial and error…

Q: A)  Justify if the matrix A is diagonalizable.B)  Find a matrix T and a diagonal matrix J, such that…

A:

Q: a) For invertible matrices A, BE R™×", show that ((AB)")-1 = (A-1)" (B1)". b) Let A, B, C, D e R"*"…

A:

Q: Suppose A is a 8x4 matrix such that rank(A) = 3. Find dim(col(A)-). dim(col(A)+) =

A: To find: dimcol(A)⊥ Given information: A is 8×4 matrix such that rank(A)=3. Concept used:…

Q: Let A be a matrix that satisfies ?^2 =? where ? is the identity matrix. a. Find a 2x2 example of…

A:

Q: Use the following Zero-one matrices to find A v B, A^B, A ов 1 1 A = 1 1 B = 1 0

A:

Q: 1 2 A = 0 1

A: Given that A=1201 First to find the Jordan canonical form of this matrix: The given matrix is a…

Q: Consider the LP problem: Maximize 3xı + 2x2 subject to: x1 – x2 + 2x3 9 3x1 + x2 – x3 0 Find the…

A: Given LP problem is, x1-x2+2x3≤82x1+x2-x3≥6x1+3x2≥93x1+x2-x3≤10x1,x2,x3≥0 The canonical form of LP…

Q: 8 Consider a square matrix B whose inverse is given by B'. a In terms of B", what is the inverse of…

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: If A is a triangular matrix, when is R = rref(A) equal to I?

A: We write the row reduced echelon form of a matrix A as rrefA. A square matrix is said to be an…

Q: ค" ? o - 3 A = %3D 2 -2 -13 %3D

A: We will solve this question using gauss Jordan method.

Q: Consider A = 21 2 1 3 -1 -3 4 Convert A to an upper triangular matrix U by using Gaussian…

A:

Q: Use matrix multiplication to find the contraction of (a,b) with factor k =1 / alpha, where alpha is…

A:

Q: If Q and U are unitary matrices, show that Q-1 is unitary and also QU is unitary. Start from QHQ = f…

A: As per the question we are given two unitary matrices Q, U and we have to show that Q-1 , QU are…

Q: Let MS be the n × n matrix whose j th column is v j and let MT be the n × n matrix whose j th column…

A: Given: Here it is given an n×n matrix of Ms whose jth row is Vj as well as an n×n matrix MT whose…

Q: v that the matrix is invertible and find inverse of the

A:

Q: Use matrix multiplication to find the dilation of (a, b) with factor k = α, where α > 1

A:

Q: Determine whether the span of the column vectors of the given matrix A is equal to R^3. Show your…

A:

Q: find the inverse matrix of the matrix

A:

Q: Let A and B be two n x n matrices. Call A and B simultaneously diagonalizable, if there is a single…

A:

Q: Find all 2 by 2 matrices that satisfy AA^t=O

A: Since it is given, AAT=0  multiply by A-1 from the left A-1AAT=A-10 AT=0  which implies A is not…

Q: b) A civil engineering firm plans to sign a contract with a customer. The contract calls for the…

A: Let the cost of building X is x the cost of building Y is y. then as per given information the…

Q: 7. Show that the matrix A=I– 2vv' , where v is a unit vector in R", and I is an nxn identity matrix,…

A:

Q: Use matrix multiplication to find the contraction of (a, b) with factor k = 1/α, where α > 1.

A:

Q: Explain why for any matrix A, AA' exists and prove that AA' is a symmetric matrix

A: Let A is any matrix of order m by n Am×n    and   Atn×m Now  AAt exists of order m by m To prove…

Q: Find the 3 × 3 matrix that produces a translation by (8,7) followed by a reflection through the…

A:

Q: Find the LU composition of 1 | - matrix A =

A: