Q2) Find the reflection of v = [2-5 0] in the line with equation [x y z = t[1 1 - 3]". 4 ab ac P has matrix a ab be ac be 2 -ab -ac P has matrix a -ab a+2 -be -ac -be a+ 2ab 2ac +2- -2ab +2- -2he -2ac -2he Qi has matrix d 2ab 2bc Qu has matrix a -2ab 2ac 2be 2ac

Q: 21V – 20V2 – V4 = 80 → Eq. 1 -40V, + 49V2 – 4V3 = 0 → Eq. 2 -2V2 + 5V3 – 2V4 = 0 → Eq. 3 -3V1 – 6V3…

A: The given equations are,  21V1-20V2-V4=80 ................. (1) -40V1+49V2-4V3=0…

Q: For the matrix A= 1 5 -i 8 7 9i 5i 2 3 B= 2 5 -i 8 3 9i 5i 5 3 Find 1- Transpose A* conjugate B 2-…

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Q: Suppose that Q is an orthogonal matrix, then OaQ-8 ObQ-2 d 1Q-0

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Q: 1 lt 4 = [" B = [3m Jand C = [* 10" Find the matris X. + m -2 14 - m 6 аnd C — 1. Let -21 Find the…

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Q: 1 31 A = 2 7 . A·B = B · A = I3×3 -2 -4 -5. ]

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Q: s elect the matrix correspon ding to the form QLX,, Xz, Xx, Xu ) = - 2x1²+ 5 X; - 7×3 -4 Xú - 6Xi Xz…

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Q: -3 -2 -3 17. Find the inverse of the matrix A= 5 3 5 2 1 1

A: Given A=-3-2-3535211 The inverse of A is given by A-1=1Aadj A A=-3(3-5)-(-2)(5-10)-3(5-6)…

Q: 11 A-/5 ー4 -2 3 B= -4-2 2. 2-3-1 1 Find the determinant of Ax AT

A: First we need to calculate AAT and then we need to find the determinant of the obtained result.

Q: 7) Find the determinant of the following matrices: -51 6. 1 5 b) 8 2 8. -31 -3 7

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Q: Q.2) Use Inverse matrix method to solve the following equations: *- y +z = 1 2r – 2y + 2: = 2 -3r +…

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Q: 16 21 Let A = |-14 -19 Find two different diagonal matrices D and the corresponding matrix S such…

A: Given matrix is A=1621-14-19 We find the eigenvectors. For eigenvalues, A-λI=0⇒1621-14-19-λ…

Q: Section 1.5:  Exercises : 2(b,d,f) only!

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Q: C = Problem 8. If a ‡ 0, 1 and A = ( ¦ ¦ ), B = ( 8 5), Find AT (B+C), b) Find (aA + B)-¹, c) Find…

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Q: Q4: If the matrix A = (; :),s Show that A2- 2A – 21 = 0.

A: We observe that characteristics eqn of A will be x^2-2x-2=0. By Caley hamilton tum put x=A we get,…

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: 7xi +4х2 -3x3 =2 + x2 +5x3 =-3 + 6х2 +7х3 --4 -2x+ 3х1

A: Given,

Q: 1 0 2 -2 1 –1 3 find cofactor of matrix .a -5 -3 -6 6. 3 7 -2 -1 -2 .b 6. -6 -3 -7 2 .C -5 -6 -2 3 1…

A: Cofactor of a particular element of in Matrix can be obtained by using the particular sign and…

Q: Find the determinant using Gaussian Elimination Methoc 5w + 6x - 5y + 11z = 7 10w + 36x + 10y – 17z…

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Q: 3. Let A=1 -1 4 -3 7 and B= 6 -24 -6 18 Find the matrix X that satisfies the matrix equation…

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Q: Show your work. Simplify your results. -{()}--0). and b=0 2 Let L = Span (a) (b) (c) Find the matrix…

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Q: Solve the matrix by using Cramer's Rule method 2x+5y+2z=10 3x+8y+z=3 2y+5z=1

A: To solve the matrix by using cramers rule method.

Q: x-2 1. A= 3x-6 4x-11 Given that the matrix A is singular, find the possible values of x.

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Q: Use determinant to find the equation of the line that passes through the points (4, ― 3) & ( ―1,2)

A: We have to find equation of line using given information Concept required: Equation of line passing…

Q: -2a1+3a2-a3=1 a1+2a2-a3=4 -2a1-a2+a3=-3 1. Express the equations in matrix form (Ax=d…

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Q: se the above equation is expressed as Ax = b with x = uations in one matrix form as (Alb)= -10 -10…

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