Find the coordinates (A)g With respect to the basis B%D 1 0 of 36 10 O a[ 2 Ob.[ 1 4 Oc[ 2 2 d. none of these

Q: Verify AB = BA for the matrices below.

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Q: [1 1 1] 2. Find the inverse of A = |0 2 [5 5 1] 3 using the Gauss-Jordan metho 131

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Q: Find a basis for the range of A and describe what you are doing A = 5 1 7 9 -17 8 18 -4 2 9. 8 -38…

A: We have given a matrix ,  A = 517818-4259-178-38-602105501535854-27-3-21031318106 We know that ,…

Q: Which one of the following matrices is orthonormal? A. B. sin 0 cos D. 2 4 -2 1 0 - cos 0 sin 0 C.…

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Q: Find λε R such that Σ n=1 -200A +24+1 25" = 26

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Q: sin 0 + In + 22+3 = -3 - cos 20 - In y? + 327-4 = + 2ln y+ 22 -3 1+ (cot 0)2

A: Given system is sinθ+ln1y+2z+3=-3 lny2+32z-4=1-cos2θ2 21+cotθ2+2lny+2z=-3

Q: 1 0 0 If [B|I]=| 0 1 where I is the Identity matrix then B¯1 0 0 1 OA. OB. OC. Does not exist. 1,…

A: Answer is option A)

Q: [2 0 Q 3 Let C = |0 2 1 0 4 3 If C is known to be the cofactor (or the adjoint ) of a matrix A, then…

A:

Q: Let -1 1 A = -1 1 1 1 What is the cofactor C22? 1 -1 -2

A: We have to find cofactor

Q: Show that the following matrices are orthogonal and find their inverses:

A: Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: 50 2. Find two different generalized inverses of A = 2 [1 -1 1 1 3 -1 -2

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Q: The coordinates of v relative to the basis C are given by [v]c = P[v]g. C-B" [v]c = P[v]s C+B -72

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Q: Using 1-node Gaussian integration, we have f f(x) dxw₁f (x₂). What is the value of w₁ ? b+a (a) b +…

A: 1-node gaussian integration formula

Q: Find A-1, if it exists. (A graphing calculator is recommended. If A is not invertible, enter DNE…

A: NOTE: Refresh your page if you can't see any equations. . in your calculator, first, you need to…

Q: e Let A= 3 = 0. %3D ez ez o Show that A0. use mahix algebra to compute the product (エーA)(エ+A+A*).

A: We firstly find A3 and then compute (I-A)(I+A+A2).

Q: If A = 2 4-2 0 0 2 3 -2 4 0 3 then find det (A) BY HAND using a cofactor expansion of your choice. 1…

A: Given: The matrix A is given by:  A=12-244-20320143023 To find: We have to find the determinant of…

Q: :- -b where a and b are positive real numbers, The matrix C %3D a V3 2 and C2. V3 2 m+n TC can be…

A: The given problem is to find the value of cos(π/12) that can be written in the given form using the…

Q: 2. Find the inverse of D if it exists where 1 0 D= = 0 0 0 00 -1 1 0 0 11 001

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Q: S 2 S+S-20

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Q: compute the following. If an answer does not exist, enter DNE. help (matrices) A = B = C = [4 2 -2 5…

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Q: Find E3,3 using the law according to the mittag Leffler function Γ(β)zn Σr(a(n-1) + B) Eaß(z) = z +…

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Q: The matrix S is not positive definite. Find a vector x such that x" Sx < 0. 5 6 S = 6 7

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Q: Find functional equations for the generating function whose coefficients satisfy the following…

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Q: The Laplace inverse of L- is t8 8 8! 1 t8 2 8 O t8 7

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Q: Prove that the matrix below is orthogonal for any value of θ.

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Q: Find the Jacobian for the given transformation. x =7u cos 2v, y =7u sin 2v, z 9w O 252u 882u 882v…

A: see below the calculation below

Q: EX 1B Calculate the table G¹, n>2, where 1 x y zv 01 น 0 0 1 w 0001 G and to continue to be applied…

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Q: 1-2 -1 2 3 1 b-a 2 1 4 E -Cos²x sin 2x 1 -2 - e b+ a e 3-b - 1 2 o 2 -1 O 1 -1 2 e 1 943 O 3 1…

A: Matrix addition is possible if the order of the matrices is same  Matrix subtraction is possible if…

Q: Compute Li(Ni – 2) dt O-4 0-2 None of these

A: Given, ∫-11t13-2dt We have to compute the integral.

Q: Σ Compute (528i) = i=1

A: Step 1:The given series is: ∑i=1n​(5i2−8i)To find the sum of the given series, we can use the…

Q: 2. Given B = (a) (b) 0200 150-3 895 7 4306 Compute the determinant of B. Using your answer above,…

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Q: If A is orthogonal, show that its determinant is equal to ±1.

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Q: 8 4 find the Jordan form J and a matrix M such that J = = M-1AM. -9 Question 2 Given A = Use this to…

A: Given matrix A=[84−9−4]The characteristics polynomial of A is |A−λI|Solving this…

Q: 2. Consider the following matrix sin³a sinB sin³y A cos a cos²B cos² a where a >3>7>0 are real…

A: Given, the matrix                                                                     Where  are…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.