Q1: Given that A = [3 -3 -5] and B = 5,what is the matrix A- BT?

Q: Q7: Solve for matrix X in the matrix equation 3X + B = C , where B and C are B -10

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Q: 3: For the matrices, A = [1 and B = 01 -31 (a). Show that, (A+ B)" AT +B". (b), Show that, (AB)-1 =…

A: Show that  a) (A+B)T= AT +BT  b) (AB)-1= B-1A-1  For the matrix A and B .

Q: If A is a 3x3 matrix and det(A) = 7, what is det(2A)?

A: Solution :-  Given : A is a 3×3 matrix               And det(A) =7

Q: b. -2x+y+6z=18 5x+8 z=-16 3x+2y=10z-3 Write the entries in the inverse matrix as fractions.

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Q: 5. (a) Consider T = LA: R³ - where A is the matrix A = R¹, T(x) = Ax 1 0 0 0 1 0 000 000 (In the…

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Q: If matrix A is 12 xc and matrix K is 4 x t, their product AK is r x 7, what are the values of c, t,…

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Q: Find the LU factorization of the matrix: A = 1 2 0 -1 -1 3 4]. 3 -2 -8 2 Show all the steps of your…

A: Answer is given in below stepsExplanation:Step 1: Step 2: Step 3: Step 4:

Q: B- Find the matrix A :- 3. A + -5 4 1. -1 3.

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Q: Q1: Solve the set of equations using matrix: x+ 2y +3z = 1 y + 4z = 0 5x + 6y = 1

A: The given set of equations are…

Q: Suppose that  |A| + |B| = |A + B| , find a 2x2 matrix for A and B

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Q: 1 Let the matrix A= Find A2 5A + 312x2. - Select one: a.

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Q: Write down the (1,2) minor of the matrix 1 -1 3 -1 1 01 45

A: Given A=1-11-101345

Q: Q1 (d): Find the rank of the matrix A. 1 0 5 0 1 -2 2 -2 -1 1 -6 3 -2 12 2 -3 0 2

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Q: Find a 2 x 2 matrix B so that B2 = A, where

A: Given matrix A=-7-16817 To find matrix B such that B2=A.

Q: , and c

A: Given quadratic form is, Here, A is symmetric matrix as,

Q: State the next elementary row operation that should be performed in order to put the matrix into…

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Q: B) find the transpose of the matrix A C = 3 2

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Q: 2c1 + 2c2 + 2c3 =0, 2c1              - 2c3 =2,c1 -   c2 +    c3 =  6 Write in the form AC = B with 3…

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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…

Q: Find the matrix B such that 2AT+3B=0.

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Q: Find a matrix X = R2x2 for which −3 X¹⁹ - -24 12² -36).

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Q: pls answer this system equation by matrices using gauss-jordan Given 6a + b - 8c = 10 a + 2b - c = 7…

A: 1st we have to convert given equation into matrix form and then by using row transformation convert…

Q: Give an example example of a 3x5 matrix in BREF where RX=0 has unique solution.

A: The aim is to find an example of  matrix in RREF where  has a unique solution.

Q: 2. Diagonalize the matrix: 1 0 -2 1 1 1 -1

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Q: Q2: Given that A = .3 -2 = what is 2(A+ B)" in matrix form? and B

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Q: Find the LU factorization of the following matrix: |2     0   0| |0   −3   1| |10  12  3|

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Q: Find matrix D such that D=2A+B-C

A: Given

Q: Consider the matrix product: 2 3. -3 -1 -2 1 H = -2 -1 1 -3 2 -1 0 %3D 0 2 -1 -1 1 2

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