43 A) Let A = Find a and b (if possible) such that A+aA+ bI = 0 where I is the identity 5. matrix (7 pts) B) Determine whether the following system has exactly one solution, infinitely many solution or has no solution (Justify your answer) ( 5 pts) 3 0. -1 %3D 3. 1.

Q: 2. (i) Find a matrix X such that (ii) Find a matrix Y such that 1 - 32] x = [3] X -2 21 53 Y = 0 2²…

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Q: Show that the matrix A is positive definite A = 2 1 12

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Q: Solve the matrix equation AX = B for X. 1 3 11 B = 33 A= 5 4 X=

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Q: E = 5 -2 -4 3 2 2 -4 -4 -4 0 -3 2 3 2 4 4 -2

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Q: SKIP The 4 x 4 matrix A satisfies the matrix equation A = 3A". Find all possible values for det A.…

A: We will use the following properties : (1) det(AT) = det(A) (2) det(AB) = det(A) det(B) (3) det(c•A)…

Q: 1 0 If A= 2 -1 3 m I: unit matrix and B-adj(A) + ml , then the values 2 m 4 of bz and b31 are m=3.6…

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Q: Find a matrix A that has an LU factorization where L is 4 x 4 and U is 4 x 3. L = U = 9. " 9-

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Q: Equation: Answer:

A: We want to find value of x. For this we use Pythagoras theorem, which states that Hypotenuse2 =…

Q: which of the following is the cofactor A13 of matrix?

A: Simply omit that raw and column whose co-factor matrix required and write rest all elements in same…

Q: [2х 81 2) For what values of (x) does the matrix : 1 a)singular b) non-singular

A: Given matrix is  A=2x81x Now,  A=2x81x=2x2-8=2x2-4 So, A is singular when A=0 which occurs when x2-4…

Q: Compute each expression and simplify the answer as much as possible. C2 – (e2 + e-2) I, where C et I…

A: a) C=exe-xe-xex , I=1001we have to find C2-e2x+e-2xIb)G=3456 , x→=x1x2we have to find x→TGx→

Q: 4. Perform the indicated operations. -2 1] a) [1 -4] 0 1 5 1 b)| 0 4 13 4

A: We have to perform

Q: d) Consider the following matrices: [1 -3] and B- Find: i) A- ii) (2AB) -

A: Given matrices are A = 1-32-4 and B-1 = 21-11

Q: 4 1. 1FA-(165) and B-(²- If A= -2 6 8 - 10

A: Given,             A=45-69 and B=-268-10. We have to find 1) A+B   and  2) 2A+3B

Q: Can you help me 2.4

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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: 5 a 1 28 6 2 Find all a and 3 > 0 so that the matrix B = is 2 a diagonally dominant;

A: Consider a square matrix . Then the matrix is said to be diagonally dominant if it satisfies the…

Q: Find the length of the arc, s, on a circle of radius r intercepted by a central angle 0. Express the…

A: We are solving the first question and for the next question post the question again and…

Q: Matrix A is order 5 x 5 and matrix B is order 5 x 5. Find the order of AB and BA, if they exist. (If…

A: Two matrices A and B are said to be conformable for the product AB if the number of columns of A be…

Q: 10. Solve the matrix equation. 1 1 6 6 2 1 2 4 A) 4 2 1 -2 10 8 10 1 В) D) -4 -4 -2 -2 10 2 4 00

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Q: using excel find the solution for the following matrix: 5x+7y+3z+2s+4i+17n=78 2.5y+12n=12 34z-16s=6…

A: First write the system of equation in form of . The matrix X can be calculated using the formula,…

Q: Solve for the matrix X: 35 and X12 The first row of X is given by is X11 = and X22 and the second…

A: X11=-2 X12=1 X21=3 X22=-1

Q: Find a polynomial of degree 3 (here ao, a1, a2, a3 are real numbers) such that p(x) = ao + a₁x +…

A: This question can be solved using the concept of solving system of linear equation using matrix.

Q: Solve the matrix equation AX = B for X. X= A = 1 1 42 B = 2 3 5 10

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Q: Solve the matrix equation AX = B for X. A = X= 15 65 18 B= - 10 - 15

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Q: 3 1 Let A Solve the matrix equation -3 -1 XA - X = 2AT + I for X.

A: To solve the matrix equation XA-X=2A^T+I

Q: Solve using matrices: [3x + y = 5 x + 4y = 9. 3. 15 R1 + R2 1 49 4 9 [3 5. -3R + R2 [1 4 91 [1 4 ->…

A: Given: 3x+y=5c+4y=9

Q: Given the matrices A and B, solve for X. 18) 3X - B= A. 5 -2 3 and B= -1 -1 A = -4

A: 3X-B=A

Q: Write an equation for the function graphed below 15+ 14+ 13+ 12+ + + + -7 -6 -5 -4 -3 -2 -1 -1 -2 -3…

A: A following graph:To Find:Equation of the above graph.

Q: Let A be a 3 x 2 matrix. Suppose we know that u = 1 X= 32 and v= satisfy the equations Au = a and Av…

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