[1 -2 -1] Let A- 2 4 l3 0 -2 -1 3 and B- 3 2 . Express the second column of AB as linear combinations. l2

Q: 2. Determine the inverse of the following matrix. Express your answer in rational form. Indicate the…

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Q: 2. Assume that all the operations are properly defined, solve the following equation for the unknown…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Obtain factorization of the form4=LU,where L is lower triangular with 1s on its 8 20 15] diagonal…

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Q: 04) X = [ Y = ; Hand Z = [ 3 Q.4) X Prove the Distributive laws of multiplication over Subtraction…

A: The given matrices are X=23-10,Y=0131  and  Z=22-10. The distributive law of multiplication over…

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A: We will use the inverse of 2x2 matrix formula

Q: [2 1 Q1 \a: find the inverse of the Matrix A= 1 1 2 1 -1

A: Given Matrix

Q: Q1: If you have the following matrix 0.2 X1 - 0.7 X2+ 0.4 X3 0.6 X1-0.5 X2 + 0.8 X3 = -0.14 -33 0.4…

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Q: lumn A Column B 1. a. -5) | b. -4) used twice 1. x + 7x +6 C. x+6) used twice 2. d. (2x-1) 2. x² -…

A: Solve equation and match with column two.

Q: Find the inverse of the ff. using Gauss-Jordan Method 1 2 2 а.) А%3 1 1 3 2 1 1 b.) A= 2 3 1 1 3. 1.

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Q: If A is the 2 × 2 matrix given by - [::] a b A = c d and if ad – bc # 0, the inverse is given by d…

A: Solution-  Matrix given 4   -6 -2   3 So here a = 4, b= -6, c= -2, d=3 So it is given that  If ad…

Q: 5а + 2b — 6с + 4d - е 3D 6 2а - b — с — d — - 1 3b + 3c + d = 0 %3D 3a + 4b – 1.5c + 5d + e = 4 a +…

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Q: b) Use the Gauss-Jordan method to compute the inverse of A, where the first three rows of A are, (0…

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

Q: 4, Q1 Q2 Q3 Q4 25 21 13 35 34 53 |3D %3D %3D %3D 2. 2. 4 Column A Column B 1. Whole number part of…

A: Fraction

Q: 3. Write the following system of equations as a matrix equation and solve it using an inverse. 2r +…

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Q: -1 5 Q3. Find the inverse of the matrix A = (if it exists). 3 2

A: Given: -15-32

Q: Q.4 Find the inverse if it exists, of the following matrices 0 -2 -3 3 (i) (ii) 1 3 3 2 -1 -1 -2 -2…

A: Let A be any matrixA-1=1AadjAInverse of matrix exists only if A≠0

Q: Let A, B be the matrices 2 1 3 1 1 0 -3 1 1 -1 A and B = %3D 2 -4 Solve with respect to X the…

A: We can simplify the matrix calculation and solve the value of x.

Q: Q3: Express A and A' as a product of elementary matrices. [10 5] A = 0 1 11 6 0 31

A: Given matrix is A=100010-101

Q: For the matrix A = 0   5   8                   Cofactor C21?                               4    5…

A: We have to find cofactor C21 for the given matrix: A=058452944 Cofactor is the minor matrix…

Q: Q3:Solve Matrices by using (Gramer Rule ) 2X + 4Y - 2Z – 2 = 0 X + Z-3 =0 2X + Y- Z -1 = 0 Techn

A: Solve by crammer rule

Q: Zp(k, l) = 1 -(6k²e+4) E1 – 4E2 (5.167) -1 -(6k²l+4). 3[1 – 13(A1 – 4A2)] 186 Difference Equations…

A: Given, zpk,l=1E1-4E26k2l+4

Q: Q3: Express A and A-1 as a product of elementary matrices. [1 0 5] A = 0 1 6 li o 3]

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Q: (B): If A = 2i + 3j - 4k; B = 3i-4j+ 5k and C = i + j - k, find: (iv) (3A + 4B). C (1) A.B (ii) B.C…

A: The objective of the question is determine the addition and dot product of given vectors.

Q: а 7. Find all 2 x 2 matrices A = satisfying с d a. A² = 12 *b. A? = 0 c. A? = -12

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Q: 2/ 1. 2 If A = -2 -1 0 2 -1 3 What is the cofactor with the first row, second column element?

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Q: -3 4 B = -1 | %3D 4 | 0 4 3. C = -2 5 1 D = 4 -2 0 1 Using the above matrices find DB

A: Given matrices are

Q: 2. Write the following functions in matrix form: (a) f(x1,x2, X3) = (x1 + 2x3, x1 + 3.x2 – x3, x1)…

A: Given the function is a fx1,x2,x3=x1+2x3, x1+3x2-x3, x1 In a matrix form…

Q: Q2) Solve and find a fundamental matrix: -1 a) x' = [ * 8 b) x' = ; * 1 L4

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Q: Express the quadratic equation 2x2 + 4xy + 7x – 2y + 8 = 0, in the matrix form x" Ax + Kx +f = 0,…

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Q: |2 0 if A=| -3 -2 4 and B= 1 find the Matrix X such that 3A+4X=5B 1 3

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Q: Find the SUM for mean of the matrix F * ? F= 1 1 1 2 2 2 2 3 3 3 3 1,

A: In order to follow sum for mean of the matrix.  First find the mean for the matrix then take sum for…

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: 0 A2 0 and P = [v1, v2, V3] and show that 0 0\3 Construct the 3 x 3 matrices D AP = PD.

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Q: Given that A is transformed into U by the elementary row operations below, find L. -31 2R1+R2→R2 4 4…

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Q: (d) Analyze the approximate value and the exact value for (7.8, 4.07) for the function f(x, y) =…

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Q: Q7) Decide whether the matrix is invertible, and if so, use the adjoint method to find its inverse.…

A: to find:- inverse of matrix.

Q: If A is the 2 × 2 matrix given by a b A = c d and if ad – bc # 0, the inverse is given by 1 I d -b…

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Q: Q2: If you have the following matrix 0.29 0.45 0.33 M= -0.29 0.46 0.41 -0.47 0.42

A: Solution

Q: Solve the problem. -18 H Let a₁ a₂ , and b 17 Determine whether b can be written as a linear…

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Q: If A is the 2 x 2 matrix given by a b A = and if ad – bc + 0, the inverse is given by 1 d -b A-1 =…

A: Using the formula, A is invertible.

Q: Q : Find x, y and z by the Inverse Matrix Method. x - 2y + z 3 ...... 2x + y-z = 5 ·2) ...... 3x -…

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Q: Q1/find the inverse of the square matrix (A), by using (Gaussian elimination method) * 1 2 2 A =|3 3…

A: Given: Matrix A=122331112

Q: Use the matrices 3r 0. 3. 0. B = 9. 4y -2 G = -8 C = and E = -q 8 -1 -7 -2z -3 to compute the…

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Q: If A is the 2 × 2 matrix given by a b A = c d and if ad – bc # 0, the inverse is given by 1 d -b A-1…

A: Matrix inverse

Q: 4 For matrix A: .3 G ), if f(X) = X2 – 3X, calculate f(A)? - 22 36 A. 18 28. 18 B. (36 28 (22 В. -36…

A: The solution is given as

Q: Given that A is transformed into U by the elementary row operations below, find L. 7 -2 7 2 -2 7 2…

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Q: Use the matrices 9m -5 -10 B = 10y A = and -3 4w 6n to compute the indicated entries of F = AT - B.…

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Q: 8. Q1. a) If A = 4 and B = then find the matrix X such that 2A +3X = 5B

A: We have to find the matrix X such that 2A+3X=5B where matrices are given as: A=804-236 and…