1 4 2 3) Find the null space of the matrix A = |0 L-2 1 1 -1 -8 -4 -2

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: 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: 6. Find the matrix of the quadratic form. Assume x is in R³. a. 3x} – 2x3 + 5.x + 4x1x2 – 6x1X3 b.…

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Q: Find matrix such that 5 3 -1] X+ 2 -3 1

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

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Q: Find 2 × 2 matrices A and B such that т 6 ]A+[, -1 JA+I 5 -5 ]B = [ 4 -6. ] and -2 -1 4 0 -2 -4 3 -4…

A: Given: The equations  06-1-1A+5-534B=4-60-2T0-211A+-4-8-3-6B=3-47-3T

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

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Q: Find matrix X:   3.     6     5     4     -2   *X=     18     49     -20     6

A: The detailed solution is given below Thank you

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

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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: ( -10! BIf (21-A)-! evaluate the matrix A.

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Q: , and c

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

Q: 2 0 -1 1 -2 2 A = 2 -1 0 1 -1 6. ||

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Q: Which of the following is the matrix C that satisfies the equality (CT +312) -1 3 (a) 2 -5 (:) 5 -2…

A: First take inverse on both sides of matrix equation CT+3I2-1=2714. CT+3I2-1=2714CT+3I2-1-1=2714-1…

Q: Find a non-zero 2 x 2 matrix such that -5-2 6 15 -[88]- =

A: We have to find a non zero matrix such that the given rfelation satisfies.

Q: 5. (16 points) Let A = [13¹], B = [-1¹ 63], and C = [29]. Compute each matrix sum or product if it…

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Q: Consider the matrix A whose RREF is the null space of A? -0 (a) (b) (1) 1 0 5 -3 01 2 0 0 0 1 0 0 1…

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

A: The given quadratic expression is .We need to convert this quadratic in the form .

Q: Suppose B and D are the following two bases for P2: B=|4x²-4x-2, ²-4x−2, 3x²-x, −3x−3] D= [-3x−3,…

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Q: Find a 2 x 2 matrix such that -5 6 +988-0 1 -3 = [1 1

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