Find the matrix [T]B.B for T:P2→M2x2 where B= (1,x,x2}, B' = 110 0 and T(a + bx+ cx2)=| a +c b -a 0 0 1 O 1 0 1 0 a. 1 100 b. 1 0 1 O 1 0 0 1 0 -1 00 C. none of these d.10 1 0 1 0 010 [10 2 0 1 0 -1 0 0 1 1 -1 0 0] e. r 1

Q: Let A be an invertible matrix. Show that det (adj (A)) = det (A-¹).

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Q: Find the power of A for the matrix A = A16 = -1 000 0 0 1 0 0 0 00-1 0 0 000 1 0 0000 -1 00081 00000…

A: We have to solve above matrix question

Q: 2. For the matrix 2 2 -1 B -3 3 find its Pseduoinverse Bt and the 2-norm ||B*||2.

A: Given : B=212-1-1-3-13 To find : pseudoinverse B+ and the 2-norm ∥B+∥2

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: 3. Find x such that the matrix A is equal to its own inverse. 2 -3 A %3D 3

A: Given :  The given matrix is   A = -2-33x To find : We have to find x such that the matrix A is…

Q: Use the following matrices to perform the operation, if possible. (If not possible, enter IMPOSSIBLE…

A: C=9101D=2653

Q: 3. 3 If A is non singular matrix whose mverse 2. Al = fad A.

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Q: pse chara A, then |E

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Q: Let X be the 3 x 3 matrix such that left-multiplication by X has the same effect as applying the…

A: In this question we have to find the (1, 2) entry of x.

Q: 5. Let D be a non-singular matrix such that 7. (7D)- 1 -2 Find D.

A: Inverse matrices

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Q: Let A be an Xn matrix satisfying A-34 +I= 0 where 0 is the nXn zero matrix. Then A = A² - 31, A= =…

A: The objective is to choose the correct option for inverse.

Q: Which of the following matrices have characterestic polynomial p(W) =12 – 10A + 1 Select one: а. 1 1…

A: To find eigenvalues and eigenvectors we need to find the characteristic equation for the given…

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Q: Find the matrix A of T so that T ([]) = A[]₁

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Q: EX:- Determine the Jacobian matrix for the quadratic isoparametric triangular element shown in fig.…

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Q: 1 2 Compute the adjoint matrix of A 3 2 2 2 3 Select one: a. -7 4 -5 7 -7 -5 3 -1 -2 %3D -7 -5 41 d.…

A: We have given a matrix and we have to find the adjoint of A.

Q: [-7 12 4 3. Let A = -4 7 Find an invertible matrix S and a diagonal matrix D such that s-1AS = D.

A: The given matrix is A we have to find the diagonal matrix D by finding the eigen value and find the…

Q: n 2. Check whether the matrix A- 2 Check whether the matrix A (0 is Hestnitian and Unitary matrix or…

A: The detailed solution is given below Thank you

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Q: 3 10 4 1. Carl bought 7 gallons of gas last week. Today, he has 2 gallons left. How much gas did he…

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Q: Q10. Compute the d24 element in the matrix, D, defined as follows: D = 6A - 5B. A = B = 8 8 9 445 -5…

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Q: evaluate the matrix

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Q: Suppose A is an n x n matrix with A² = A. Show (I – 2A)−¹ = I — 2A.

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Q: Suppose A is an n×n invertible matrix such that A – 2A = I, . Find an for A. expression

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Q: A is a reversible matrix of nXn. Show that |adjA|=|A|r1

A: As we know that the inverse of a matrix A is : A-1=adj(A)|A|

Q: 3. Prove that (i) /, =1, and (ii) ||, =Vn (I is the Identity Matrix of order n).

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Q: Let A and B be invertible matrices (with the same size). Show that AB is also invertible and (AB)-¹…

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