Let A and B 3 x 3 matrices such that det(A)=2, det(B)=-4. Find det(3A' ). Select one: a. 54 b. 6 C. 81 d. 18

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Q: the matrIX A into a product QDQ" where Q is orthogonal and D is diagonal.

A: Given,          A=-5-1-1-1-3-1-1-1-3

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A: The solution is given as

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A: Given that the matrices are equal. x4=6y

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Q: Let A = ; 1.B - : J.c= , ], anc 2 37 ol.c = [ 1 and v = |1. What is the sum of the entries of the L4…

A: Note: We know that for matrix P of order m*n and Q of order n*t, the multiplication PQ is possible…

Q: Q3: Find x, y and z by the Inverse Matrix Method. x+ 2y + z = 2 . 1) 2x-y-z 1 . 2) 3x - 5y 5 . 3)

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Q: Find all pairs (x,y) for which matrix B is not invertible, where 1 1 B = 2 1 1 0 -1 y

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Q: Suppose that T() and 7 () -E Find the standard matrix A for Tand find T(:) 14 and 2 and T (HD A-3…

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Q: Let A and B be n × n matrices and let x ∈ Rn. How many scalar additions and multiplications are…

A: Let A and B be n × n matrices and let x ∈ Rn

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Q: Find a matrix A to safisty the following equation: -1 (AT – 5 2 3 1

A: to find the inverse of 2*2 matrix, the formula is

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Q: Find values for the variables so that the matrices are equal.

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A: I am attaching image so that you understand each and every step.

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A: Given query is to find the direction of moast repid increament.

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Q: Find value(s) of ß for which the matrix A is singular. —3 - в |-2 B 1 1

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Q: 3.) x + y + z = 6 y + 3z = 11 x - 2y + z = 0

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Q: Find the de terminant OF the matrix below : * [: ] 3 d. 2 a. -2 4 -5 4 2 b. 3s - 2 Cos -1 e. 3 1-t…

A: The given matrices are: a. 31-24 b. 13s-126s-1 c. 13t26t d. 102-541121 e. 331-t4-t

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Q: Let A be 3x3 matrix where det(-A) = 2 2007 let B =030 Then det(A BAB) = L004 Answer:

A: Properties of determinant: det(-A)=-det(A)det(A-1)=1det(A)det(AB)=det(A)·det(B)det(An)=(det(A))n If…

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Q: 2. Solve for X in the given matrix equation (A – X) =B where A = 3 2 -1 ol and B = MIN2

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Q: {(: ;) :*vez} : х, у Є Z y Let T' = Under the usual matrix operations of addition and…

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Q: (a) Find 0 1 ,y,z and B, where 3 y ; A² = 1; C(A+1)+3B7 = 2A and /:unit matrix

A: a)

Q: Let A be a 6 x 5 matrix. What must a and b be in order to define T : Rª → R* by T(x) = Ax? II

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.