15. Given matrix N = Find the value of x such that NN' = 1, where I is -x the 2x2 identity matrix. (A) (C) (B) (D) 3/4

Q: Let A and B he two matrices of size 3 x 3 such that det(4) = 2 and det(B) = 3. Then det(38" A") = О…

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Q: erify the Cayley-Hamilton Theorem for a general 2 x 2 matrix A, a b -[1]. For a nonsingular n x n…

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Q: Assume the following matrix is given Be when x = I I I X 1000 000 1 00 1 0 where x is any non-zero R…

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Q: 2 1 Let A = Show the details of two different methods [(1) using the adjoint and determinant, (2)…

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Q: Q9. As usual, let In denote the n x n identity matrix. 1 - (a) Find a 2 × 2 matrix such that A² =…

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Q: Which 2x2 among the matrices/matrix below satisfy(ies) X^2 -5X + 21 = 0 where I and O are the 2x2…

A: We have to find the matrix that satisfies the given equation.

Q: (4) Given a matrix X of independent variables, psudo-inverse X† is defined as (X"X)-'x" (a) If X is…

A: If a matrix is of order (mXn) then transpose of A is of order (nXm).

Q: (a) If A and C arenxn matrices with C invertible, prove that: det (C-AC) = det(A). (b) Given that…

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Q: Let be A, B, C,x. 5x5 matrixes such that A, B and C can be inverted such that AXB" – 151, = c-1…

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Q: Solve for x, y, z, and win the matrix equation (X, Y, Z, W) wx 2 {]+=[xx]-

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Q: -2 - Find the inverse of the matrix A = 6. or state that there is no inverse. 4.

A: A necessary condition for the inverse of a matrix that it must be a non-singular matrix.

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

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Q: Let A be 3x5 matrix. Then AX=b has always infinitly many solutions.

A: Since not a particular question asked ,as per guidelines solution to first question is given below

Q: Suppose that A and B are invertible n x n matrices. Which of the following statements is true. A.…

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Q: Assuming that all matrices aren X n and invertible, solve for D. ABC" DBA'C = AB". OD =…

A: Given ABCTDBATC=ABT Also all matrices are nxn and they are invertible which means their inverses…

Q: Let A =mnd B- then the matrix (2AB + A")" is equal to O None of these O equal to the above 2 17

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Q: dy x(2 In x +1) 6) dx sin y + ycos y

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Q: Assuming that all matrices are n x n and invertible, solve for D. CAB DAC'B = CA". D=…

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Q: -1 [A] = 4 3 -3 2 %3D L3 1] 2.

A: Given :                    2-134-32321 To find :                 The cofactors for C13 , C22 , C32…

Q: 1. If 1+ A is nonsingular, show that (I+ A)"' and I– A commute and (I + A) +(I+ A')"=1, where I is…

A: Given I+A is nonsingular and we have to show that I+A-1 and I-A commute and  I+A-1+I+A-1-1=I

Q: 10. (a) Show that the matrix is positive definite. (b) Find the square root of A, (A). (c) Write the…

A: In this question, the concept of the matrix is applied. Matrix A matrix is a rectangular array or…

Q: a²f(x) a²f(x) dx? a²f(x) ax2x1 ax,x2 J = a²f(x) əx What does this matrix mean?

A: Given matrix is J=∂2fx∂x12∂2fx∂x1x2∂2fx∂x2x1∂2fx∂x22 and we have to tell the meaning of this matrix.…

Q: Q1. (a) Determine the inverse of the matrix: 2 3 -2 3 5 -4 \1 2 -3/ Hence, use the inverse to solve…

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Q: If x=2:2:6, and y=[1, 3, 7]. Write the values of the matrix A=[x' y'] where ' is a matrix transpose.

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Q: 2. Find fundamental (3 (a) x' = (b) x' = 2-5 4 matrices for the following systems: :)> (9) -2 62 5 3…

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Q: A = 60- -5 1 0 0 9 2 M33 = A33 = 32

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Q: 3. Let y is a function defined as y(s)={SB:s is student ID, S: ith digit). [6] For example, student…

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Q: [1 3 B = 2 1 5 0 A = 0 -5 4 and 3 8 QA + B'.

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Q: (2) Let A be 3x3 matrix with 4|| = 4 Find : (a) det(( 3 4 )²(2 4)') ) det( 2 A + 3 adj ( A ))

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