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

Q: Let A be a matrixand x be a vector given as follows

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Q: 5. Show that if each of the vectors {Bo, B1,...,B,} is a linear combination of {a1,a2,...,a,}, then…

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Q: If A is diagonalizable and B is diagonalizable, must it be true that AB is diagonalizable? Give a…

A: If A is diagonalizable and B is diagonalizable then it is not necessary for AB to be diagonalizable.…

Q: 2 If A is diagonalizable then A is diagonalizable. Select one: O True False

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Q: Give an example of a set of nonzero vectors in R3 that generates R3 but is not a basis for R3.…

A: Definition 1 : A basis β for a vector space V is a linearly independent subset of V that generates…

Q: AB is orthogonal

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Q: Write the row space and the null space of the matrix Г1 2 3 |4 5 6 7 8 9 as a span of vectors.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the constants c1 and c2, such that vector = c1 +c2

A: In this question, we have to find the value of constant c1 and c2 for the given condition  with…

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.

Q: Verify the orthogonality p

A: answer is in next step

Q: Prove that if A is invertible and diagonalizable, then A-1 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: e diagonalizable?

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Q: Show that if u and v are orthogonal, then || u * v || = || u || || v ||

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Q: Find a matrix P such that P'AP orthogonally diagonalizes A. Verify that P'AP gives the proper…

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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…

Q: Show that if A is both diagonalizable and invertible, so is A-1.

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Q: at vectors （c1 - a1, c2 - a2）and （b1-a1,b2-a2）are linearly depend

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

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

Q: Prove that two vectors are linearly dependent if and only if one is a scalar multiple of the other.

A: Let u & v be two vectors in Rn.Suppose that u & v are linearly dependent . then there…

Q: |A student writes the statement ā.b = b.č and then concludes that a = č. Construct a simple…

A: The given problem is related to vectors. Given: a student writes the statement a→ . b→ = b→ . c→ and…

Q: In each part, determine whether the set of vectors is orthog- onal with respect to the standard…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 1. If two Hermitian operators A and B commute, show that they can be simultaneously diagonalized.

A: Given :-  If two Hermitian operators A and B commute , then they can be simultaneously diagonalized.

Q: Verify that it is orthogonal to both a and b. (a × b) · a = (a × b) · b = %3D

A: Given

Q: What is the resulting diagonalized

A: A quadratic form may be diagonalized by the following procedure: Find a variable x such that x2…

Q: Find a basis as well as the dimension of the kernel and the image of each linear mapping

A: The given matrix is A=12012-12-11-32-2.

Q: Find an explicit description of Nul A by listing vectors that span the null space.A = -6 4

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Q: Find a numbert such that (3,1,4), (2,–3,5), (5,9, t) is linearly dependent in R³.

A: A set of vectors is said to be linearly dependent, if there is a nontrivial linear combination of…

Q: Find the orthogonal complement of column space of A.

A: The orthogonal complement of colA is the set of vectors V that are orthogonal to each vector in n by…

Q: snip

A: Given Orthogonally diagonalize A=abba,If b not equal to zero

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: orthogonally diagonalize A

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Q: 1. Find basis of Span

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Q: Any row vector created can be transposed to result in a column vector. how ? (with example)

A: See the attachment

Q: Suppose A and B are both orthogonally diagonalizable and AB = BA. Explain why AB is also…

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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: Notations That Represent A Line

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Q: Show that if A is both diagonalizable and invertible, then so What does it mean if A is…

A: Introduction: If matrix A is an invertible matrix then every eigenvalue of this matrix non-zero.

Q: If a = (5, 0, -1), find a vector b such that compab = 5. b =

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Q: Suppose A is invertible and orthogonally diagonalizable. Explain why A–1 is also orthogonally…

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Q: Prove that if A is not square, then either the row vectors of A or the column vectors of A form a…

A: Suppose A is an x×y matrix that is not square. Either A has more rows than column (x>y) or more…

Q: If A ER2X2 is not diagonalizable, then A is not diagonalizable. True or False? Give an example to…

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Q: Suppose {v1, v2, ..., vp} is an orthogoal set of vectors. Show that {c1v1, c2v2, ..., cpvp} will…

A: Since {v1, v2, ..., vp} is an orthogoal set of vectors, dot products between any two of them will be…

Q: f A E R2x2 is not diagonalizable, then A is not diagonalizable. True or False? Give an example to…

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Q: FinD %3D IF and SICETCH THE ComputatiON Ai3OVE A VECTOR ADDITION AND REPRESENT IT As

A: Find the vector addition

Q: Determine which of the matrices in are orthogo-nal. If orthogonal, find the inverse.

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

A: We have to check