EDIA The fundamental matrix et for the system Y' = AY where A 18 [(1-61)e* a) is 2 14 18te* - 2te (1+ 6r)e" 2e 18te*] b) - 2e* 14te (1– 3t)e* c) - tet 9te (1+3t)e* 18e* - 2te 14e d)

Q: Let C be an nxn matrix that satisfies C2 -3C–2In 0. Show that C is invertible and C=1 = }(31-A)

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Q: Logical Equivalence 1. Show that p J (q V r) and (p l q) V (p l r) are logically equivalent using a…

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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: Using Cramer's Rule to solve the system 2х + 5у %3D 8 Зх — 2у %3D 9

A: Solving the given equation by using Cramer's rule.

Q: You have this system which is nonhomogeneous 니 *** 니 - X= (==] -4t + X" x **-[= Determine the…

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Q: 2. (a) Express -2+t+t +r' as a linear combination of 1-t, 1+r, and 1+1- or show that it cannot be…

A: We have to write in the linear combination.

Q: Q5. What is the result of the matrix operation 2E - 3D? Q6. What is the result of the matrix…

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Q: (31/1/2 03 A= 1 1 - 1 3 3 3 1 0 0 0 0 0 0 0 -130 0 0 10 3/

A: According to the given matrix A, find an invertible matrix P such that .

Q: Let A, be Hermitian matrix witho (A) = 1,-1 and B, is a Hermitian matrix with o (B) = 0,-2, then one…

A: We have to solve given problem:

Q: If A is an nxn invertible matrix, then det(A-1) is equal to O det (A)-"det(adj(A)) O None of these…

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Q: Which one of the following equations is true for nxn matrices A, B, and C? (Assume all matrices…

A: For the given matrices A, B, and C. We have to choose the correct option.

Q: 2)} and 0 4 A = 2 3 . be the matrix for T: R2 → R? relative to (a) Find the transition matrix P

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: det(cA) = c det(A) Insert a number to sho

A: Given that  A is an n×n matrix and c is a scalar. Check whether detcA=cdetA is true or false.

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: Can you see which matrices are linearly dependent and linearly independent? Thank you!

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Q: (-13] 1 2 Let A= 07 5 10) -2 00 (h-1)(h+1) system. For which value of h is the system INCONSISTENT?…

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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: Q6) Find the standard matrices for A and A' where T1 : R2 → R3 ,T1 (x,y)=(x,y,y) and T2 : R3 → R2…

A: These question related to matrix and linear transformation

Q: Rank of the matrix A = (a) 1 (b) 2 (c) 3 (d) 4 1234 6 7 8 765 2468 5 8 is,

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Q: :) (). :) -3 (i) (ii) (iii) (iv) :) 3 -3 (v) (vi) (vii) (viii) 2

A: First Let's find the eigen values of each system: i11-2-1  the characteristics equation is…

Q: 1 0 2 -2 1 –1 3 find cofactor of matrix .a -5 -3 -6 6. 3 7 -2 -1 -2 .b 6. -6 -3 -7 2 .C -5 -6 -2 3 1…

A: Cofactor of a particular element of in Matrix can be obtained by using the particular sign and…

Q: For what value(s) of k is the matrix A = 1k1 non-invertible (a) All real numbers. (b) All real…

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Q: If A is a matrix that satisfies the following equation. Find: Trace(A-17I)^-1

A: Given,            A=pqrt-pq0082To find:  TraceA-17I-1

Q: Consider the elementary matrix 1 0 -- a 2 1 Describe the action of this matrix from the left in…

A: Here →A=(1,2),→B=(0,1) The vectors A, B are linearly dependent if their determinant is zero. i.e.…

Q: (2) Suppose A = (a) Diagonalize A (find an invertible matrix Pand a diagonal matrix D such that A =…

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Q: Take the system æ' = 10x? + 10y2 + 9xy, y' = e10x + 10y?. The Jacobian matrix is help (formulas)…

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Q: Here matrix A 4 2- i 9 A= |2 +i 0 3+i 3- i 7 Can you solve for A· A" (Transpose matrix)?

A: Explanation of the answer is as follows