1 0 0 0 -1 -2 If [ B|1]=0 1 0 1 -2 1 where I is the ldentity matrix then B = %3D 0 0 1 -2 -2 0. 3. 1/3 2/3 1/3 1/3 1/3

Q: 4 Is the matrix A = -3 O Yes O No 1-3 1-3 2 -1 -4, invertible?

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Q: 1 Find a matrix P that satisfies P 1 9 1 2 0 3 0 900 23 1 7 1 1

A: We have to find the matrix P that satisfies the given equation.

Q: 1.) Let A = Obtain a matrix that is similar to 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: Let (x, y, z) E R³ and the transformation T: R³ → R² be given by T(x, y, z) = (2x + 4y, x + 3y + z).

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Q: Is the matrix         1 0 0                               0 1 0                               0 0…

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Q: 5 -3 Find the matrix A if (I+ 2AT) ¯ = | 1: -2

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Q: 8. (3pts) Let A and B be arbitrary n x n matrices. Multiply (A – B)(A+ B).

A: As we know that (A-B)(A+B) = AA+AB-BA-BB=A2+AB-BA-B2here AB need not to be equal to the BA. Because…

Q: 2 1 -1 3 1 9. Calculate the rank of the matrix P = | 2 1 2 0 3 1 1 1 |-1 -5 -3 -7 3|

A: P=210-131212003111-1-5-3-73

Q: 2. The matrix product G o) ( (5 3 is equal to 3 2 5 3 (: ) 3 5

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Q: -1 2 4 Find the 1-norm of the matrix 3 -2 0 1 -1 2.

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Q: |adjA| = |A]"=1 n-1

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Q: 6. Find the distance between the matrices A and B, p(A, B), using the ||- ||2 for the matrix -[:] -1…

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Q: -5 4] -5 2 1 ||

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Q: 7. (S.15). Find the inverse A-1 of the matrix -2 -3 A = 0 2 -1 -1 -2 3

A: Matrix Question

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: a) Let A and B be two regular (nonsingular) (n, n)-matrices. Determine whether the following is…

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Q: Suppose A +A+I-0 where A is a square matrix then A= A -A-I -2A A-I CS Scanned with CamScanner

A: Now we will find A-1 . Where I is identity matrix.

Q: 2. Find the matrices representing the following geometrical transformations T : R³ → R³, with…

A: All the matrix representation are respect of standard basise1=(1,0,0),    e2=(0,1,0),     e3=(0,0,1)

Q: (a) Describe the kernel and the image of Jn. (b) Use this to show that J, is diagonalisable when n #…

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Q: Find the value of x if the matnx 1 5] 4 is Singular 2. A = -3 6. 2

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