2. Show that the following functions are convex by verifying the condition that ² f(x) 20 is satisfied for all a in the domain of f: (a) f(u₁, ₂) = n(e" +e"), (b) f(u₁, U2, U3, U4) = ln(1-₁-₂-3-4) over the domain {ue Rª|u₁ + 1₂ + 3 + ₁ ≤ 1}. -

Q: If (AB)" = and A = find the matrix B. %3D

A:

Q: Define Identity matrix ?

A:

Q: Problem 4. Use matrix exponential find general solution of this system : X' = 1 0 X + 0 2 et 3e2t

A:

Q: Part 3: Matrix and Determinants. (0) Find the solution of linear equation using matrix and deter-…

A:

Q: Match the matrix A on the left with the correct expression on the right A. Det A= -33 356 B. A = 120…

A:

Q: Define bidiagonal matrix.

A:

Q: Define Hessian Matrix ?

A:

Q: Strain-displacement Matrix

A:

Q: What is mean by Matrix? Define elements matrix?

A: Matrix:- A set of numbers arranged in rows and columns so as to form a rectangular array is called…

Q: to B=101 t00 select all true •If AB =Ithen BA=I AB=I 'AB=I but nut BA=I "BA-I inone of these %3D

A:

Q: e/ By three ways Show that B= %3D isorthogunal matrix

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: 1. Show that the following functions are convex by verifying the definition, i.e., that f(x +…

A:

Q: ind the Lower and Upper Triangular matrix using Cholesky method

A: Here use the Cholesky method to find the lower and upper triangular matrix of the given matrix.…

Q: Consider the following matrix: 1. A 5 3 1) For what values of k is A invertible? 2) Let k = 2, what…

A: A square matrix is said to be invertible iff det(A) is not equal to zero

Q: Q/If you have the triple matrix below The inverse of matrix (A): 0.885 0.473 0.781 (A) = 2.047 0.973…

A: Sol:- 0.8850.4730.7812.0470.4780.1570.9730.8950.715-1Augment with a 3x3 identity…

Q: A,BEM2LIR) select tme (A•B)2 =AZ+BAr A A+B? I belieno It was BrD, ane there mone? %3D Al+ AB+BA+B 32…

A:

Q: Find an explicit description of NulA by listing vectors that span the null space, where [1 5 -4 -3…

A:

Q: X = 8 8 3 3 ; A = 2 42 0 1 -2 -3 7 3 3 2 9

A: Every matrix of order m×n is represented a linear transformation from Rn→Rm definition of T(x)=Ax

Q: Matrix X 1 -1,4 1,4 -1,4 1,4 0. Matrix Transpose X 0, -1 -1 -1,4 1,4 -1 -1 1 -1,4 1,4 multiply…

A: Matrix: A matrix is defined as a rectangular array of elements which are arranged in rows and…

Q: [1 2) 13 · X = 2-

A:

Q: 3. Let f R→ R³ and g: R³ → R be defined by f(t)= (t2, sin(t), et) and g(x, y, z) = xy + z. Using…

A:

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

A:

Q: A real matrix A is called normal if AAT = A" A. 1 Find all real values of x such that the matrix A =…

A: If two matrices are equal, each of entries will be equal to each other. If a matrix of order (m×n)…

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

A:

Q: メ-E to to L-E 2-E to to to d-E put K-E =U E= d-fX

A: The solution to the given question is explained below.

Q: Solve

A:

Q: make the matrix diagonally dominant

A: Diagonally dominant matrix: These are the matrix in which the absolute value of the diagonal element…

Q: 5. y= e²^(c,cosx+c,sinx)

A:

Q: Define invertible matrix.

A: Definition: A square matrix of order   is said to invertible, if there exists an square matrix B…

Q: stable

A:

Q: Let (X} be a time homogeneous Markov Chain with sample space {1,2,3, 4}. G the transition matrix P =…

A: Given information: P=0131313130131313130131313130

Q: 1) A =| °, find fundamental matrix eta

A:

Q: Find the hessian matrix for y = x12 + 2x22

A: