Q1: Answer by (True) or (false): 1) The transpose of a column matrix is a column matrix. 2 51 31 5| than A = -, 1 2) if A= |-1 3 and B = -2 41 1 2 1 -2 4] | 3) lim tan(2n).csc(4n) = - n-0 4 5 4) lim v4x² + 5x – 7 + 2x = 5) lim cos(x) = 1 x→, 2 6) logaxª = alogax = 1 %3D

Q: Example: f=(f¹, f²): R³ → R² (-6) T1I2X3 that is, f¹(x) = x₁²² and ƒ²(x) = 1₁T2Tz. Then the Jacobi…

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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: Does P = False True -2 4 3 -6 diagonalize A = 25 -87 94 -61

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Q: a) 2y2/3-1/2 - 4y5/6 3/2 where A = = A(1 – B) √z and B =

A: 2y2/3 z-1/2 - 4y5/6 z3/2 =A( 1-B)/sqrt(z)Find A and B.

Q: m) x -8x Quadratics of the Form ax? + bx + Decomposition or 12x-5x-2=12x-8x +3x-2 = 4x(3x-2)+1(3x-2)…

A: Given that  To solve the equations into quadratic form

Q: Orthogonally diagonalize A Tu 4 4 0 0 9

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Q: Let u = 3 II x₂ that satisfy the equation X2 -4 CHE 3 || -5 -3 (Simplify your answers.) and w= -4 -5…

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Q: Which 2x2 among the matrices/matrix below satisfy(ies) X^2 -5X + 21 = 0 where I and O are the 2x2…

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

Q: Suppose f: R → R is defined by the property that f(x) = x + x² + x³ for every real number x, and g:…

A: The given function is f(x)=x+x2+x3, and g∘fx=x for all x. Statement: f∘gx=x for all x. We have to…

Q: Compute the quadratic form x¹Ax for the given matrix A and vector x. [59 0] A = 91 4, X = X2 04-2 x3…

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Q: (v) 0 -1 0 1 0 0 ma ~ 0 ( 1 a -1 0 0 0 a 0 0 a 1 0 1 000

A: Given: A matrix .To find: The Row operations by which the matrix is reduced to

Q: 2x(3x-1) +8x-4(2r + 1)

A: on simplifying we get option C is true

Q: 1. Use row operations to find the inverse of '1 1 2 3 6 5 3 3 7

A: Solve for the inverse of the matrix

Q: For Square Matrix A, B of the same size is it true (A + B)-1 = A-1 + B-l? Explain

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Q: 1 -[-3 3] 5 f A = of B. and AB = | -3-1 1 17 determine the first and second co

A: AB=-3-11117 B=1-3-35 We have to find A

Q: 10 Let A = -2 1 B (Enter a matrix like -3 -6 -87 Find the product of any two of the matrices. The…

A: The rule of order (or dimension) of matrices for matrix multiplication is as follows:For two…

Q: 3 2 O -1 2 4 e -1 6 -1 -2 3 یه -S 3 -8

A: Gauss Jordan row reduction method is used to find the solution of the system of linear equations in…

Q: Use row reduction to find 0 3 1 3 -3 . Demonstrate that your inverse is correct.

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Q: Q8: Given that -2 X = 1 8 -8 -9 -9,Z -7 7 -2. -8 5 what is the matrix 3X + Y – 3Z?

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Q: 1. True or False: (Matrix [mxn]) [3x6][5x3]=[5x6] O True O False O Maybe

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Q: 5. Let P(x) be the statement "x spends more than five hours every weekday in class," where the…

A: Introduction: Quantification is the application of numerical indicators to the subject or predicate…

Q: please continue matrices and find for x, y, and z cramers rule

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Q: Q2) Find x for the following matrix 3 1 x| a) -1 3 4= -30 1 ol 1 |1 2 1| b) 12 x 2=0 13 6 xl

A: We need to solve the determinant and find the value of x.  Now, if we have a 3×3 matrix…

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: -14 2k -81 9. Find the values of the variables 3f %3D 3 -3 3 10. Find the zeros of the polynomial r3…

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Q: Discovery 4.6. Consider 1 -3 -1 A = 1 3 %3D -2 2 3 -1 -2. Compute the product AX by considering X as…

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Q: 1. For the following quadratic forms (i) write down the symmetric matrix A (so the form is equal to…

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Q: Which function is not quadratic? (O Ax) = (6x+ 9) -9 ()-x(x-9)(6x + 8) U Ax) = 7x + 8 Ax) = 6(x- 9)2

A: We have to check

Q: Now write ageneric exampledaux2 motrix a with entries paying close attention to the subscripts है…

A: Generic Example of a 4×2 matrix  Let A be a 4×2  matrix. For any entry,aij i represents the ith row,…

Q: 1. Let ƒ : R³ → R5 be the function given by f(x₁, x2, X3) = (x₁ + x2 − X3, 2x1 + 2x2 − X3, 3X1 + 3x2…

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Q: Let A, B and C be invertible n-order square arrays such that A and B switch, A and B are…

A: Let A, B and C be invertible n-order square arrays such that A and B switch, A and B are…

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

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Q: 3. Distributive Property: Expand and Simplify a)-2(-2:3 + z? + 5z – 2) + (3z³ – 2² – 5z + 2) b)-(2x²…

A: In this question we have to expand and simplify the expression using distributive property.