Prove that if T is diagonalizable then T is diagonalizable.

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Q: IfQ is diagonalizable, then AT also diagonalizable. إختر واحداً:

A: We need to check whether if A is diagonalizable, then A is also diagonalizable.

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Q: If A is diagonalizable then A´is diagonalizable. Select one: O True False

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Q: Prove that if A is diagonalizable, so is AT.

A: Given: Matrix A is diagonalizable. To prove: AT is diagonalizable. Concept Used:1) If a matrix A is…

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Q: 5. ints) Let v1,..., Un be vectors in a vector space V. Suppose w is another vector in V. Determine…

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Q: If A is diagonalizable then A is diagonalizable. Select one: True False

A:

Q: , counting the multiplicities. Then A is orthogonally diagonalizable.

A: We have to examine that matrix A is orthogonally diagonalizable or not.

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Q: 1 1 Let A = Find the values of a such that A is not diagonalizable 1 1 0 0 1

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Q: 5. Consider the space {) a a + b+c= d : 2a + b = d a + b+ 3c = 0 H = CRª. C d (a) Find a matrix A…

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A: Given statement is S is linearly dependent subset of a vector space V,then every element of S can be…

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Q: If A is invertible and diagonalizable, then A also is diagonalizable. Select one: O True O False

A: Solve for true or false

Q: State and prove the : The characteristic polynomial of any diagonalizable linear operator T splits.

A: We have to prove that: The characteristic polynomial of any diagonalizable linear operator T splits.

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Q: Prove that, if A is similar to B, and B is diagonalizable, then A is diagonalizable.

A: Given that A is similar to B and B is diagonalizable.  To find A is diagonalizable.

Q: Prove that if the columns of A are linearly indepen­dent, then they must form a basis for col(A).

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Q: O Let u, v, w by any vectors of a vectors a vector space V and S={ v-ü, u-w, w-i }. Is S linearly…

A: The answer is given as follows:

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Q: *** If A is diagonalizable then A is diagonalizable. Select one: O True O False

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Q: Prove that if T is diagonalizable then T is diagonalizable.

A: Given T be a linear operator on a vector space V and W be a T-invariant subspace of V. Define a…

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Q: Let V be a vector space of dimension n, and let B and C be bases for V. Then the product PB-c Pc-B…

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Q: Let A= then A is diagonalizable. Select one: True False

A: We have to check