23. A matrix which has an inverse is classified as 24. Find the value of x if log;(x + 2) = 2 1 -3 4 1 В 6. What is B+A? 25. Let A = 2 10 -7 -4 0 -7

Q: Solve the following problems by using the inverse of the matrix involved. 1 (a) An automobile…

A:

Q: Solve the following problems by using the inverse of the matrix involved. labor hour to polish;…

A: (a) Given An automobiles factory produces two models A and B.  Model A requires 1 labor hours to…

Q: Find the elementary matrix E such that EC A where [2 4. 2 -1 2. -2 and C = 4 A 2 -1 -2 8 -6 [16 10 E…

A:

Q: 8. Use the formula eAt = L-1 {(sI – A)-!}, to compute the matrix exponential for the matrix A =

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Q: Solve the following problems by using the inverse of the matrix involved. (a) An automobile factory…

A:

Q: 13. Find the inverse of the matrix * 1 2 3 A -2 -2 || 5 A : %3D 10 1 A : 1 4 1 10 - 10 -10 -8 -5 -1…

A:

Q: 1. If y = (x + 1/x) (2x-3, then dy/dx will be ?

A: Given y = (x + 1/x) (2x-3), then to find dy/dx    “Since you have asked multiple question, we will…

Q: 2. The inverse of matrix A = is true false O

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Q: In the Attached Problem, show that the matrix A is nilpotent and then use this fact to find the…

A:

Q: Use the definition of the matrix exponential (given in (3) of Section 8.4) For any n x n matrix A,…

A: ANSWER

Q: Suppose that A is an n x n matrix such that A² = 0. a) Show that if 7 E im(A), then 7 € null(A). (In…

A:

Q: 17- Let A be 5 x 5 matrix and det(4) = 2. What is the value of der(24)? a) 128 b) 32 16 64 LEave…

A:

Q: The matrix is not invertible for what value of x 2 1] 3 2 1 1 2

A: The matrix is not invertible the determinant of matrix should be zero.

Q: In the Attached Problem, show that the matrix A is nilpotent and then use this fact to find the…

A:

Q: 2. Suppose that A is a 3 x 3 matrix that satisfies A = A 12 (a) Show that the rank of A is at most…

A:

Q: Compute the matrix exponential e for the following system x' = Ax. x'1 = 10x, - 14x2, x'2 = 2x, - X2…

A: First we will obtain the metrics A from the given system of differential equation then we will…

Q: If the order of the matrix A is (3x 5) and Bis (5 x 6) then the order of the matrix (A B) will be O…

A:

Q: 5. Suppose that A is a 3 x 5 matrix, and the rows of A are linearly independent. What is the…

A: A is a 3x5 matrix. And rows of A are linearly independent. So that dimension of range space of Ax…

Q: Suppose A is an n x n invertible unit lower triangular matrix and n > 10. A programmer claims that…

A:

Q: 9. . Suppose that A = PDP¯' and B = 31 + 2A + A². 5 Let D a Find a diagonal matrix D1 such that B =…

A:

Q: In the Attached Problem, show that the matrix A is nilpotent and then use this fact to find the…

A: Given A=1-11-1

Q: 2 4 8 Suppose that A = LDU = 039 , then the matrix U is 0 0 7 equal to: 2 00 0 3 0 0 0 7 1 2 4 0 1 3…

A: Given:Suppose A=LDU=248039007To find : Matrix U

Q: Solve the following problems by using the inverse of the matrix involved.   ​(a) An automobile…

A: Solve the following problems by using the inverse of the matrix involved. ​(a) An automobile factory…

Q: 3) Identify the element in the matrix. [O 2 4 6 X =0 3 6 9 0 48 12 X2,4 =h X3,2 %3D X3,4 %3D

A: NOTE: Refresh your page if you can't see any equations. . the element at the second row and fourth…

Q: 22. If the order of matrix A is m x p. And the order of B is p x n. Then the order of matrix AB is?…

A: The order of Matrix A : m * p The order of Matrix B : p * n To find matrix AB  Multiply both…

Q: Suppose A is ann x n invertible unit lower triangular matrix and n » 10. A programmer claims that as…

A: We will use the basic knowledge of LU decomposition to answer this question.

Q: Q1) Answer the following a) If a 7 × 5 Matrix A has rank 2, find dim(Null A), dim (Row A) and rank…

A: (a) Given that A is a 7×5 matrix of rank 2. To find: The dimension of Null A and dimension of Row A.…

Q: 8. Find the matrix exponential eat, where [ (a) A = -1 -1 1 -3

A:

Q: Suppose A is an n x n invertible unit lower triangular matrix and n » 10. A programmer claims that…

A: We will use the basic knowledge of LU decomposition to answer this question.

Q: [4 2 If A is a non-singular matrix whose inverse is |1 1 find A. * 司 1. 1 -2 B. -1] -1] 1 1/2 C.…

A:

Q: 11 is equal to 23 The inverse of the matrix A O A. 3 -1 -2 1 OB. -13 1 -2 C. -2 3 -1 1 D. None of…

A: inverse=?

Q: Select the correct answer. Which is the inverse of this matrix? [15 10] 014 li 6 15. 9 10-15 4 -4 5…

A:

Q: Suppose CA = I, (the nxn identity matrix). Show that the equation Ax = 0 has only the trivial…

A: Let A be m×n matrix then Rank(A) + Nullity(A) = number of columns of A Where Rank(A) is the…

Q: メ-E to to L-E 2-E to to to d-E put K-E =U E= d-fX

A: The solution to the given question is explained below.

Q: 4 Solve the matrix equation 2X+A=B for X if A= -1 1and B= 2 . X= (Sinpily yr enswi

A: Given: A=-3-4-11-25 & B=1-21-3-4-9 Consider 2x+A=B Since the dimension of the given matrix, A…

Q: What matrix E puts the matrix A into an upper tr 4= U? Show your work! 210 042 A =

A: Introduction: In linear algebra, LU Decomposition, also known as lower–upper (LU) decomposition or…

Q: For which valua of k does the matrix 1 have real eigrenvalue of one multiplic ety 2 a to

A:

Q: 7. Suppose E is a 2 x 2 matrix which subtracts 3 times row 2 from row 1 and puts this answer into…

A:

Q: 4 2 If A is a nonsingular matrix whose inverse is find A.

A: If A is a nonsingular matrix whose inverse is 4211. we have to find A.   the inverse of the matrix A…

Q: For which values of the parameter a (if any) is the matrix invertible? Justify your answer. [1 07 а…

A: A matrix is invertible if and only if its determinant is non-zero.

Q: In the Attached Problem, show that the matrix A is nilpotent and then use this fact to find the…

A: The given matrix is, A=30-350730-3. Obtain the Eigen values of the given matrix.…

Q: 14 12 (suppose) A = – 20 17] Find the diagonal matrix D where D= P¯' AP

A: The given matrix, A=-1412-2017

Q: 2) Find inverse matrix using Gauss - Jordan Method if available 1) [1 3 41 A = |1 -5 L3 -2 41

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

Q: Compute the matrix exponential e^At for the following system x′=Ax.   x′1=8x1+x2, x′2=2x1+7x2…

A: As this problem is related to exponential of a matrix, hope you know how to find inverse of a…

Q: 8. If A is an mx n matrix, wh

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

Q: For this reason it is called the Lorentz matrix for the velocity v. (hint: Substitute 2 – 32 = 1 and…

A:

Q: 3. Verify that the following statement is true for these matrices: (XY)-1 = Y-!X-!. A suggestion:…

A:

Q: Write down what it means for a n x k matrix to be singular.

A: As we know, If matrix is singular then it has determinant equals to '0' For Finding determinant…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.