QUESTION 4: Given the following matrices: [1 -1 5] A= 4 3 1 Is A orthogonal? Why?

Q: Question 8 Determine whether the matrix is invertible. 95 -3 0 3 O No O Yes

A: Sol:- For Matrix to be invertible , Determinant should not be zero Find the Determinant of the…

Q: Question 20 Given that A= 12 -5 has the form A= PCP-¹, C- 0c-12²2 C OP-11 0 -3 -1 and P = Op- and P…

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Q: Problem 4 Determine whether the following matrices are diagonalizable or not. Explain your answer. 1…

A: Dear students, you have asked multiple questions in one post, as per our policy only the first…

Q: Question 3 Find the inverse of the matrix Choices: -3 1 3 а. с. -4/3 1/3] -3 4/3 1/3] 3 d. 1 1 b.…

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Q: Question 6 1 000 00 1 0 is 0 0 0 1 The inverse of the matrix A = 0100

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Q: QUESTION 4 2 3 2 Find the LU factorization of the matrix A = 4 13 9 Write the 2 matrices L and U…

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Q: Question 28) Determine whether the given matrix is elementary. (a) (b) (c) (d) 외 1 0 -5 1 -5 1 10 1…

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Q: Question 1. Are the following matrices similar? 3 2 a) 1 and ? YES NO -1 0 ? 0 6 -1 2 b) and YES NO…

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Q: Question 8 1 23 If the matrix A= 4 0 8 , then the cofactor C21=.. %3D 350 Quection 0

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Q: Question 3: a) Compute the inverse of the matrix A [o 2 21 A = |1 1 1 Lo 1 2] b) Use the inverse of…

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Q: Question 2. 1 0 0 -1 -1 1 1 -1 R3 + 4R2 → R3 1 -1 a b c What is the value of b – a + c in the above…

A: Given that  From the given matrix  To find b-a+c

Q: Question 7 Consider the matrix 5 1 1 1 4 2 1 2 4 A = (a) or Positive definite? (Justify your…

A: As per bartleby guidelines, for more than one question asked only one is to be answered please…

Q: Question 5: Let 1 A = 1 15 -2 (5a) Find a 3 × 3 matrix P and a diagonal matrix 0 A2 0 13 D = || such…

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Q: Question 2: It is a block matrix, and "O" mean all 0, "I" mean all 1. I O I O Вс I Find the inverse…

A: Gauss-Jorden elimination method:  To find the inverse of the given matrix, first we need to augment…

Q: Question 2: (a) Show that for 2 × 2 matrices A & B the following equation holds. det(A + B)? =…

A: We have to show that the following results.  For this we can apply the properties of determinant.

Q: QUESTION 12 Find a matrix P such that 1 0 23 0 3 1 -1 O A. P 0 1 1 1 O B. P = 1 0 O C.P 1 0 OD.P -1…

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

Q: Question 2 : Consider the matrices 1 1 3 A = 1 2 4 1.1 4 (a) Use elementary row operations to find…

A: First we find inverse then x=A-1 b.

Q: Problem 6 a 0 $3.7, Exercise 3. Let A = be a 2 x 2 diagonal matrix. For which values of a and b is A…

A: By necessary and sufficient condition of existence of inverse of a square matrix we can solve the…

Q: Question 8 & 9 are related to the following two matrices [1+. A = B = Question 8 trace of AB = A.…

A: Trace and det of the matrices

Q: Question # 7: Find an LU factorization of the following matrices с. 2 -6 6. 5 -7 5 -1 -4 3 -6 4 -8 8…

A: Given: 2-66-45-735-1-64-88-39

Q: Question 4 Find unknowns a, b, c, d ve e for matrix A to be orthogonal. 4/9 4/9 ] а A = |4/9 2/9 b d…

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Q: QUESTION 6 For which value(s) of a will the matrix O 2a A = a+2 1 be orthogonally diagonalizable?…

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Q: Question 1 Let A and A' be two matrices defined below (0 1 1 1 00 0 0 0 0V 100 0 1 10 0 0 0 100 0 00…

A: Since the questions contains many subparts as per the guidelines I am answering the first three…

Q: Question 18 Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a…

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Q: Question 3 p-1 1 0 1 0 P= Find a matrix such that -1 0 P = OA. OBP 3 -1 OcP = 0 1 1 0 P = OD. [13 0…

A: Option (A)  is correct.

Q: Problem 8 §3.7, Exercise 2. Let a 0 be a real number and let A be an invertible matrix. Show that…

A: Given: α≠0 is a real number and A is an invertible matrix. To prove: The inverse of the matrix αA is…

Q: Question 12 Find the value of z in the equation matrix. M. + 2% a. 1/2 C. -1/2 b. 1/4 d.-1/4 O D O A…

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Q: Question 11 Imagine you have matrices A, B, and C, which of the following is false? (A) AB + AC =…

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Q: Question 17 Given that A, B are two 4x4 matrices such that A B = I, where I is a 4x4 identity…

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Q: Question 3 Find the inverse of the matrix Choices: : 特 -3 3 -1 -4/3 1/3 1/3 a. c. 1/3 1 -3 3 d. [4/3…

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Q: Question No. 3: Using GAUSS –JORDON Method, find the Inverse of the following matrix : 1 2 -1 4 2 -3…

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Q: Question 3. 1 -1 -1 -1 1 1 (-1) R3 → R3 1 1 1 a -b -c What is the value of a +b - c in the above…

A: Consider the given matrix. −1R3→R31−1001−1001|||100−110−a−b−c Now, compare both matrices and find…

Q: QUESTION THREE Consider the following matrices 3 3 A=| 1 -2 2 -1 4] B= 11 -2 Find i. АВ ii. A+B iii.…

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Q: Question 2 Which of the following is TRUE about the matrices below: 1 2 -1 A =0 0 1 0. 0 0. 10 1 0 4…

A: We want to find matrix which are in row-echelon form

Q: Question 5. Assume that A and B are matrices of the same size. Determine an expression for A if 2A -…

A: We can add or subtract only same size matrices.   However we already have same size A and B…

Q: Question 9 Given the matrix below, find AB. [-1 21 0| and B [3 -2 1 2 A =| 5 %3D 4 3 11 Choose your…

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Q: QUESTION 9 1 3 4 Given Matrix A = -195 a) What are the dimensions (the size) of matrix A? b) What…

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Q: Question 2 Suppose T:R° → Rª is defined by T(x) Mx and M is a 4 x 13 matrix. Then a = 6 =

A: For the given statement

Q: Question 18 If A and B are n x n matrices and rank( A) = rank( B) = n, then O A. rank(AB) = 2n OB.…

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Q: Question 7 Not yet answered Marked out of 5.00 P Flag question Let A, B and C be 4x4 matrices with…

A: To solve the following problem, we use the following property of determinant. Det(A.B) =…

Q: Question #3 * Two matrices A = [a] and B = [b,] are equal if and only if A and B are of the same…

A: As per our guidelines we are supposed to answer only first question ( if there is no specific…

Q: Question 25 Given the matrix below, find BA. -1 2] 0 and B = 1] [3 -2 11 Lo A =| 5 4 2. Choose your…

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Q: Question 11 Imagine you have matrices A, B, and C, which of the following is false? A AB + AC = A(B…

A: This question is based on properties of matrix and Transpose matrix .

Q: 1 2 2 2 e M2,2: Question 1. Are matrices a) Linearly independent?

A: We will check whether the given matrices are linearly independent or not.

Q: QUESTION 4 Find AxB (Matrix Multiplication). 2 1 -2 A = 3 -1 4 -1 2 1 B = -2 4 %3D -3 7 -6 3 -1 -2 O…

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Q: Question 6 6 1 The trace of matrix A = is 4. 5 -2 O True O False

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Q: QUESTION 22 The matrix A below is orthogonal. 2 3 2 A = 3 3 2 4 5 3 3 3 O True False N/3 1/3

A: 22. A real square matrix is said to be Orthogonal when the product of a square matrix and it's…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.