نقطة واحدة Show element equal to 18 in the * matrix Y Y= 2 5 7 4 8 3 10 20 30 12 14 16 18 Y(18) O Y(4,4) O Y(:4)=[18] O (4,1)%3D18

Q: Let C be an nxn matrix that satisfies C2 -3C–2In 0. Show that C is invertible and C=1 = }(31-A)

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Q: Find the 2, 3-cofactor of the matrix 1 2 0 0 2 1 -1 7 -3 0 0 0 7 1 0

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Q: Find f(B)

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Q: Let Pg be the matrix whose columns are the vectors in B. Show that PEPB is the n x n identity…

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Q: For matrix (0 -1 0, 1 0 0, 0 0 1), show that [adj(A)}^-1 = (1 / det(A))*A = adj (A^-1)

A: The objective of the question is to prove the identity adj(A)^-1 = (1 / det(A))*A = adj (A^-1) for…

Q: e/ By three ways Show that B= %3D isorthogunal matrix

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Q: Ouestoon = Find the inverse of the matrix with A'= Adj A A= -2

A: The objective is to find inverse of the given matrix using the given formula Given:

Q: Find the charo cteristica poly no nomi the matrix A = 3. 3. /- P(x) = 1.

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Q: (31/1/2 03 A= 1 1 - 1 3 3 3 1 0 0 0 0 0 0 0 -130 0 0 10 3/

A: According to the given matrix A, find an invertible matrix P such that .

Q: Let I be the rdentity of nxn. Please Compute 3. matrix the matrix funct ions CosT I (i²=-1)

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Q: Exercise 51. Is there a square matrix X with real entries such that det(X¹X) = -3?

A: detXTX=-3 X is a square matrix with real entries.

Q: Consider the matrix in the image (i) Determine the inverse matrix B^−1 , of B. (ii) Using the…

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Q: Let be A, B, C,x. 5x5 matrixes such that A, B and C can be inverted such that AXB" – 151, = c-1…

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Q: * Find the Matrix B from order 2 x 4 , Its elements are written in the form by = i + ()

A: Here we find matrix B of order 2×4

Q: Given A = 1 1 0 3 Compute 5A *Matrix

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Q: Find an explicit description of NulA by listing vectors that span the null space, where [1 5 -4 -3…

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Q: Determine the matrix A x 1, if A=(13) and 1=(9)=

A: Given A=-1043,     I=1001   To determine: the matrix A×I

Q: The symmetric matrix corresponding to the quadratic form X1 x2 = x} – 2x1x2 + 2x1x3 – 3x + 4x2x3 –…

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Q: Find an example of a 2 x 2 matrix A such that A? + I2, A3 + I2, and A6 = I2. Explain how you know,…

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Q: Examplen' find the pvoduct of the follow ing (wo natricesi 2. 2. ら 1. 又3 3.

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Q: Solve the Matrix Equation XAB-BAX=X with A,B,X are nxn matrix with A,X are invetribles.

A: The given matrix equation is, XAB-BAX=X where A, B and X are n×n matrices with A and X invertible.

Q: Find e^t where A is the matrix A - -4 1 -1 -2 eAt +

A: Given that A=−41−1−2

Q: Find the LU composition of 1 | - matrix A =

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Q: Let A = (2 1, 2 3) . Find a 2 x2 matrix X so that X^2 = A

A: Matrix A =[2 1, 2 3]  We have to find 2*2 matrix X such that X2=A

Q: what is the x on this matrix; Ax(D+Bx)^-1 = C

A: Using matrix multiplication,

Q: iii) 12 = 1-5 where I 2 x 2 unit matrix .

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Q: Show that (-A) T= -A", where A is a 2x3 type matrix (you can show it on the example)

A: Let matrix A=abcdef. Order of matrix A is 2×3. ⇒-A=-a-b-c-d-e-f ⇒(-A)T=-a-d-b-e-c-f  →Result 1

Q: singular values and SVD of a n × 1 matrix

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Q: G1/ Find A of the matrix 3. - 1 6. 3. %3D 2. - 4 2.

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Q: (3 (4") *) If A is 3 x 3 matrix with det (A) = 3, find det %3D

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Q: 口 WLJ 18) Which is the product of the matrix? [21 4] x L2] 13 O (8] 41 8 O (6] O [13]

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Q: Express the quadratic equation in the matrix form x Ax+ Kx + f = 0, where x Ax is the associated…

A: In the given question, the quadratic equation is: y2+2x-3y-1=0 To express this equation in the…