Find the 4 by 3 matrix A that represents a right shift: (x₁,x2, x3) is transformed to (0, x₁, x2, x3). Find also the left shift matrix B from R¹ back to R³, transforming (x1, x2, x3, x4) to (x2, x3, x4). What are the products AB and BA?

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: -1 find its inverse A¬'. Check that your inverse is actual in 2 For a matrix A = -3 Ichow vour work…

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Q: R={(2,1),(3,1),(3,2)} as a zero to one matrix

A: Given R = R=2,1,3,13,2  we have to write it as a zero-one matrix  A= 0001001103×3

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

A: Topic: matrix multiplication

Q: Let V = [- 7, – 7,0] and V½ = [0, 3, – 4]. Use the Gram- | Schmidt procedure to construct an ordered…

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Q: 2. Calculate the following matrix products: 1 -1 -1 3. A.

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Q: -4x – y – 6z = -39 -9x + 7y + 4z = 47 – 7x – 6y + z = -52

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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: , and c

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

Q: 1 1 1 121 N 3.

A: To Find the inverse of the matrix

Q: 10) Find the transpose of the resulting matrix: AE 4 x 5 -100 3 5 A = 2 2 a. -|-7 26 29 26 C. - 29 7…

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Q: If then which of the following are true? Select one: O det -2c 3 f -h -i -2a-2b 3d 3e [3a -b 2c det…

A: Given :        abcdefghi=3  If each element of a row (or a column) of a determinant is multiplied by…

Q: 4. Decide whether or not the matrices are inverses of each other 1 1 2 4 -2 4 and 1 1 4 -4 2 4 A)…

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Q: Find the inverse of the matrix: in F7. 2 5 1 1 3 26 3 5

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Q: Make a change of variable, x = Py, that transforms the quadratic form 6x +18x1x2 + 6x2 into a…

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Q: Use row operations to change the matrix to reduced form. 1 1 1 18 5 6 7 24 1 1 1 18 5 6 7 24

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Q: determine the diagonalizing matrix: X1 = λαι X2 + X3 = λχη – X2 + X3 = λx3

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Q: Find the following matrix product. Be careful to distinguish 2 x 2 matrices in the answers from 2 x…

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Q: Explain why det (BPB¯¹) = det(P) for any matrices P and B. Assume both sides of the equation are…

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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: Consider the following matrices: and A [1 2 34 B = 2 Find the products AB and BA or say why they are…

A: Given: and To Find:  and  or say why they are not defined.