6. In each of the following, find the matrices X and D such that A = XDX-1, and D is diagonal: (a) A= - (15) (² 3 (b) A= (c) A = 0 0 -2 1 3 1 -1,

Q: find the inverse of the 2x2 matrix : [3 1]…

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Q: Is the matrix A = 1|2 TILL -1 1 1 -1 -1 1 1 -1 1 1 -1 is orthogonal matrix.

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Q: Suppose A, B and C are 2 × 2 matrices with det(A) = 3, det(B) = -2, and det(C) = 2. Find…

A: NOTE: Refresh your page if you can't see any equations. . properties of a determinant are where…

Q: Consider the following matrices: [1 2 3] 4; li 4 3] 3 2 1 [A] 1 [B] -4 1 3 -1. Find: b) 2[A] – 3[B]

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Q: Suppose A and B are both 3 × 2 matrices. Which algebraic operations and procedures apply to these…

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Q: Given the following matrices, please solve the questions beiow: A= : 1 51 36 1. [(D-E)(F) + A][B] 2.…

A: We solve the 1st and 2nd both part.

Q: Let A and B be 3 × 3 matrices such that det (B) = -2 and 27 = det (-3AB A" B ²). 2 Find det(A).…

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Q: compute the indicated matrices A + 2D

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Q: for the two matrices shown , Find the * (multiplication (A.B a- [; ;],»-[; *] 2 B = 4 1 1 A = 2

A: Topic: matrix multiplication

Q: 3 2 . B = 3 and C =-1 For the Matrices A= 1 4 Find: (AT.B)+ 2 C

A: Given that, We have to find, Then we get, AT=1-32140…

Q: You are given the following matrices: P = (-3 9/-3 -7), Q = (-2 1/3 3) Find out the value of a of…

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Q: 3. Give an example of two 2 × 2 matrices A and B for which (AB)² # A²B².

A: To prove above equation with an example

Q: If A and B are 2 x 2 matrices, det(A) = -2, det (B) = 7, then det (AB) = det (2A) = det (AT B³) = ₁…

A: We use determinnant properties (i) det(AB)=(det(A))(det(B)(ii) det(KA)= , Here k is constant and n…

Q: -3 For the matrices A and B, verify that A.B=B.A, where A=[53] and B= 4 4 -51

A: Given :A=5443   and B=-344-5

Q: Seven thieves try to share a hoard of gold bars equally between themselves. Unfortunately, six bars…

A: Seven thieves try to share a hoard of gold bars equally between themselves.Unfortunately, six bars…

Q: A, B, C are 3 x 3 matrices with det(A) = -3, det(B) = -2, det(C) = 6. What is det(A" A-1)?

A: Given that A,B and C are 3*3 matrices. To find det(A^TA^-1)

Q: Consider the two matrices: 2 4 1 -5 A = B = 2 Compute A + 3 B. The result is equal to: Select one:…

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Q: -3 4 B = -1 | %3D 4 | 0 4 3. C = -2 5 1 D = 4 -2 0 1 Using the above matrices find DB

A: Given matrices are

Q: compute the indicated matrices 3D - 2A

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Q: Evaluate the following matrix product. [ 1     3 ] [ -2  -2]   [ 4   -5 ] [ 3     2]    [ -2  -4 ]…

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Q: (A" – 21) * - | ) 3. Determine the matrix A if

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Q: Def (Function): A binary relation RCX X Y is called a function from X to Y, written f:X →Y if -…

A: The concepts have been explained with examples.

Q: IA - (34) and B- (-5 8 -2 (a) (AB) (b) BTAT 10. f -5 find

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Q: For matrices A, B, and C, if A is invertible and AB-C, then True False B = CA-¹.

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Q: Find matrices A and B for which rank(A) = rank(B), but rank(A?) + rank(B²).

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