The Harmitoniat is represented b The matrix H- (a

Q: (a) Interchange any two rows of the identity matrix. (b) The detenninant is unchanged. so it is +I.…

A: a)

Q: x + y Suppose A is a matrix and A x Find the matrix A. A = ||

A: Let's find.

Q: gson condensa K 2 matrix M

A: 74. a) M=1563|M|=(1*3)-(6*5)       =-12

Q: find an oxohogonal or unitary dragonalizing or matrix cach The to lloweng bor 2 (a) (b) 3 -i 4 o 0 2

A: Solve the above question.

Q: finding the matrix of S 0 T (a) by direct substitution and (b) by matrix multiplication of [S] [T].

A: Finding the matrix of  S∘T (a) by direct substitution  (S∘T) x1x2 = STx1x2                        =…

Q: The number of independent columns or rows in a matrix A is called (dimN(AT O (nullity(A O (dimN(A O…

A: The number of linearly independent row in a matrix A is called the row rank of A.

Q: 3. Find all values of λ for which the matrix [A-3 0 0 1+2 0 -5 3 0 2+5 is singular.

A: It is given that the matrix λ-3030λ+20-50λ+5 is singular. The objective is the find the value of λ.…

Q: This matrix is a 0 0 4 0 4 0 4 0 0 zero matrix square matrix diagional matrix unit matrix O

A: The given matrix is                                     004040400.

Q: 2P is a singular matrix then find the value of P. D M 3. If A =| K 3 S -P R L.

A:

Q: finding the matrix of S 0 T (a) by direct substitution and (b) by matrix multiplication of [S] [T].

A: Given: Tx1x2=x1-x2x1+x2,  Sy1y2=2y1-y2

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

A:

Q: Let A be an n x m matrix. What is the value of rank(A) + nullity(A)? A) т B) n +1 C) m + n D) т — п…

A: given matrix A is of order n*m to find  rank(A) + nullity(A)

Q: Let A be a 2 x 1-matrix and B be al x 3-matrix such that -1 2 AB = -3 -3 What is z and y? number (5…

A: We are give A is of order 2×1 and B is of order 1×3 we will first take arbitrary A and B then by…

Q: -2 Find the matrix P such that P-'AP is diagonal matrix. -2 (c) Let A -2 3 -1 -1 3 6.

A:

Q: finding the matrix of S 0 T (a) by direct substitution and (b) by matrix multiplication of [S] [T].

A: Given:  Tx1x2x3=x1+x2x2+x3x1+x3 ;  Sy1y2y3=y1-y2y2-y3-y1+y3Let…

Q: The matrix below is an Involutory matrix. Find a. A - G J 1 a) b) O -1 c) O 0 0: 1 e) O 2

A:

Q: T -1.T If A is 3x3 nonsingular matrix such that AA =A A and B=A A then BB = Select one: a. I+B b. (в…

A:

Q: Solve the Jacobian matrix ?

A: Given The Jacobian Matrix J(12,8)=-6-12-8-4

Q: ssume that a matrix A is diagonalizable and we have calculated the diagonalization of A, i.e. A =…

A:

Q: 4 Given matrix A = 1, find x such that the matrix is singular. a. 0 с. 3 b. 2 d. 6

A: A matrix is said to be singular, if it's determinant is zero.

Q: For an invertible matrix with an LU factorization A = LU, both L and U will be invertible and A -1 =…

A: Given, the LU factorization of a matrix A = LU where both L and U are invertible, We have to…

Q: c. Consider the multiplication AB is existing with the size (M x N), where B is a matrix of size (L…

A: Solving Part C only ..as you have already mentioned :-

Q: Ife matrix A has orthonormal columns, then A'A = I

A: True :

Q: find value/values of k such that matrix is singular 10 3 2 -1 0 4 2 k

A: We need to find k such that the matrix 1032-1042k is singular. So, we must have,…

Q: (a) Approximate the value of - Vx+ A Q4 dx, using two and three points Gauss Quadrature where A is…

A:

Q: c. Consider the multiplication AB is existing with the size (M × N) , where B is a matrix of size (L…

A:

Q: 1 A = -1 2 For the matrix find A° using diagonalization.

A:

Q: a) ir(A - 1)1- ( -2) %3D Find the matrix A

A:

Q: Consider the following matrix A, where 0 -4 -6 0 -3 A = -1 1 2

A: We use the process of diagonalization to solve this problem. The detailed solution is presented in…

Q: [1 2 1] A = 2 0 2 l2 3 kl give matrix. [A| = 1 , k=?

A:

Q: True or False. Let A be a sqaure matrix. Suppose A^3 is the identity matrix. Then A is the identity…

A: Consider the provided question, determine the A3 matrix.

Q: 3 Given that matrix A = (, and matrix B = 1. From the matrix above, 3 Determine the values of x and…

A: The given matrices A=35-10 and B=x0y1

Q: (e) Suppose we just had the matrix A, but not the expression that was used to generate it. He we…

A: Suppose we just had the matrix A but not the expression that was used to generate it.

Q: a. Draw a Digraph represented by the adjacency matrix го 1 1 01 1 1 1

A:

Q: 3 b Find the value of b that make the matrix A singular. 3 5 b =

A: Note : According To our guidelines we can solve only first question and rest can be reposted.Thank…

Q: Let E be an elementary matrix. Show that E T is also elementary of the same type

A: Given: E is a elementary matrix. The objective is to show that ET is also elementary of the same…

Q: -3 i. If A =0 then show that A3 – 9A + 101, = 4, where I, and o -3. 3 -1 are unit matrix and null…

A: Given a matrix A=2-320203-1-3 To show that A3-9A+10I3=φ, where, φ is a null matrix and I3=100010001.…

Q: Drow the digraph represented by the adjacency matrix 1 ㅇ 1 0- ㅇ ㅇ 1 ㅇ 1 ㅇ ㅇ 1 1 0 0 0 10 0 0 1 0 0 0…

A:

Q: Find the LU-factorization of the matrix. (Your L matrix must be unit diagonal.) 1 0 LU%=D

A:

Q: Finding the matrix ofS0T (a) by direct substitution and (b) by matrix multiplication of [S] [T].

A: Finding the matrix of S∘T (a) by direct substitution  Given  Tx1x2 = x1+2x2-3x1+x2Sy1y2 =…

Q: Find the change-of-coordinates matrix from B to C. Find [x]c for x = - 2b, +4b2. Use part (a). %3D

A: Transition matrix

Q: Q₁: Q: When possible, find an invertible matrix P& M₂ (K) such that PAP-¹ is a diagonal matrix where…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: matrix A (below)

A:

Q: 1 0 1 3 0 2 6. Let A = and B = %3D 5 1 (a) Calculate the matrix Aª.

A: given matrix  A=1051 (a') to find A4 multiply the matrices using matrix multiplication. A4=A2·A2…

Q: A. [oa] a) Let A = 0 4 Find a find matrix P) diagonal matrix D so that PAP=D for some invertible…

A:

Q: а 3 2 Find the value of a that make the matrix A 1 2 3 3 1 2 - singular. a =

A: A matrix will be singular if value of its determinant is zero  => If A is singular then A=0

Q: 0 A The block matrix is symmetric if O a. AT= A O b. A" A = I Oc. ATA 0 O d. AT = - A

A:

Q: 3. Let A= 21 and let I be the 2-by-2 identity matrix. Put the entries ofA-31 in the matrix below 7.…

A: