7. Let A, B and X be square matrices of the same size. Using the algebraic properties of matrices to solve the following matrix equation 1 1 AT – 2B +X" = -B 3 for X yields 10 (A) B- 2A" 3 10 (B) вт — 2А 3 - | (C) 3 1 B" - -A 10 2 10 (D) BT + 2A 3 3 1 (E) 10

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A: To prove  Ax = 0

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Q: f A is 3×3 nonsingular matrix such that AAT=ATA and B=A-1AT then BBT=

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Q: Compute the indicated power of the matrix.

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

A:

Q: 2. Consider the 6 x 8 matrix [1 3 0 0 0 0 1 0 2 0 5 -3 0 0 0 A 0 0 1 4 -7 -9 00 0 0 0 0 0 0 0 0 0 0…

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Q: 2 Discuss whether the matrix A 1 2 0 is diagonalizable or not. -3 5 2 ||

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Q: 2 -3 For matrix A = -2A? will be %3D -1 4

A: See the attachment.

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A: * Note:  "As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

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Q: If Q is 3 x 2 matrix with orthonormal (:) 3 then 4 columns and a. ||Qx|| = 1 b. ||Qx|| = 25 O c.…

A: Option " d " is correct answer. Thankyou !

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A: We will use the basic knowledge of LU decomposition to answer this question.

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Q: Q3/create a matrix A and 1- add fourth & fifth rows equal to [1 2 3] by using [1 2 3] A= 4 5 6 L7 8…

A: Here is the solution:

Q: Suppose A is a 4 × 4 coefficient matrix If possible, find the entries of a matrix T that perform the…

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

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Q: Some ecologists divided a female bird population into three categories: juvenile (up to 1 yr old),…

A: