10 3 2) Let the Matrix A= 3 4 -1 25-4 then Find A- by elementary row operations only.

Q: [2 2 21 1-Extract the matrix a=|4 4 4|

A:

Q: 6. Find the inverse of the matrix if it exists by using elementary row operation, 2 4 1 -1 1 -1

A:

Q: Determine whether the statement below is true or false. Justify the answer. If A is an mxn matrix…

A: I assume you know what is an argument matrix and what is rank of matrix .

Q: Consider the augmented matrix shown: 2 [12 |--1 3 [1 0 If a sequence of elementary row operations is…

A:

Q: 2 4 If A 1 4 - [3³] and B = [2 56 [4 2 24 find matrix such that 2A + B + 4X=0

A:

Q: Find column rank, nullity, and the nullspace of the matrix 1 2 1 2 5 1 1 0. 3 7 2 2 -2 4 9 3-1 4

A:

Q: -3 4 Q4) If: (4) = , and [B] is the matrix result from multiplying raw one 5 -1 3 by 2, and adding…

A: given: A=2-34-47-55-13 and B is the matrix result from multiplying row one by 2, and adding to row…

Q: 6. Find the inverse of the matrix if it exists by using elementary row operation, 2 4 1 A--1 1 -1 4

A: Given: A=241-11-1140 Since, A=IA where I is a 3×3 identity matrix. Therefore, we have:…

Q: Determine the dimension of the matrix. -3 7 15 0 5 0 3 3 4 1 67

A: It is required to find the dimensions of the given matrices.

Q: Compute the indicated power of the matrix.

A:

Q: Use the specified row transformation to change the matrix. 4 2 12 8 -3 times row 1 added to row 2…

A: The given matrix is: A=42128 According to the question, we need to do the row transformation as…

Q: 2 Suppose C is the matrix C = .What is the reduced row echelon form R = rref(B) 0 3 8 5 using the…

A:

Q: 2 2 3. Transform the given matrix to RREF -2 1 1 -1

A: The given matrix is; 3 2 2 -2 0 1 1 -1 0. Repost the next question.

Q: 6. (a) Find the matrix A so that AB=C, where C1 C2 C3 b, b, bz 2 B= b, b2 b3 & C= C1 C2 C3) а, а аз…

A: AB=C

Q: 2 Discuss whether the matrix A 1 2 0 is diagonalizable or not. -3 5 2 ||

A: A matrix is said to diagonalizable if for every eigen value's algebraic multiplicity is equal to its…

Q: (18) Does a 2 × 2 diagonal matrix commute with every other 2 × 2 matrix?

A: We have to check

Q: Suppose 2 and 1 are the first two columns of a matrix A. If the RREF of the matrix A is 1 0 1 0 1 1…

A: We need to find third column of matrix.

Q: Obtain a lower triangular square root of 3 3 the matrix 3 5 1 3 1 6

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Q: Here is the augmented matrix: 5 0 2 38 Enter the missing coefficients for the row operations. 2 23 1…

A: Explanation of the solution is given below...

Q: Find the rank of the matrix: 321 3 43 -1 2 2

A:

Q: [2 4 11 If A= 3 6 2 and B= 1 15 7 2 then to compute C21 where C=AB, you must compute the inner…

A:

Q: Perform the elementary row operation R, R, on the given matrix. 1 4 ! 2 0 -8 i -12 Resulting matrix:

A: As it is mentioned that we have to perform the row operation on row 2 , just perform it and get the…

Q: DEMONSTRATE THAT A A-1= A-1A = I      FOR THE MATRIX BELOW     1 -1 2 2 -3 4 1 0 3

A: Given matrix A=1-122-34103 We have to  prove that AA-1=A-1A=I We know that A-1=AdjAA

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

A: Given :- a matrix A  We need to show that a matrix is positive definite. We know that , A symmetric…

Q: Give the row operation used between each augmented matrix. Use R1, R2, ... for Row 1, Row 2,..,…

A: In this question, concept of row operation in augmented matrix is used. Augmented Matrix Each row…

Q: Го 7 [4 Suppose a matrix A is row-equivalent to the matrix 6 11 47 For the vector b = 2 performing…

A: To determine without any calculation whether the given system has no solution, a unique solution, or…

Q: 5. Suppose that the augmented coefficient matrix of Ar = b is (1 3 1 -1 0 bị 2 6 1 4 12 3 -2 1 ba 1…

A:

Q: 2. Find the elementary row operation that transforms the first matrix into the second, and then find…

A:

Q: (4) Let A be a 3x3 matrix. If |4|= 2 , then |3.4|=,

A: Given that A be a 3*3 matrix and |A|=2. To find the value of |3A|

Q: Find a matrix with no zero entries that commutes with the given matrix A. 4 17 1 4

A: The detailed solution is as follows below:

Q: 6. Find the inverse of the matrix if it exists by using elementary row operation, 2 4 1 -1 1 -1 4

A:

Q: B: find A of the matrix 2 1 3 3 2 -1 -4 3 -1

A:

Q: Find all a and 3 > 0 so that the matrix B = 23 6 2 is 2 ally dominant:

A:

Q: Give a 3 x 3 elementary matrix E which will carry out the row operation R + Ry. E = Test that E…

A: The elementary matrix E with the raw operation R1↔R3 is: E=001010100 Because it the matrix obtained…

Q: O Solve and verify +4=4 and 2x-4=1 13D 2. 3 2. esing matrix method.

A: We have to use matrix method in the given question to solve two equations.

Q: 16. Let A be a 3x3 matrix and suppose that a, = 3a, - 2a,. Will the system Ar=0have a nontrivial…

A:

Q: 5. Use the matrices to solve the x-2y+3z = 4 system: 3x- 4y+z = 4 2x +3y-4z = -2

A: We have to solve the equation by matrix method.

Q: 3 (i);- 2

A:

Q: 6. Give an example of two matrices, A and B, neither of which contains any zero entries whose…

A: Below mentioned a example related to this, you can construct many.

Q: Find the nullspace of the matrix

A: The nullspace of the matrix is to be determined, The matrix is shown below as,

Q: Is the answer in #1 and #3 not in matrix form? how so?

A: Remember : eB represents coordinate matrix of e with respect to basis B. Which means if we consider…

Q: 1 2 5 203 5 3 4 (a) Write down the quadratic form corresponding to the matrix A =

A:

Q: Determine the dimension of the matrix. 17 15 0 50 3 3 0 1 6 7

A:

Q: State the dimension of the matrix.   4 3   −6 −2 −9 −7  ⨯

A: We know if a matrix has m rows and n columns then dimension of the matrix is given by m×n.

Q: 1 Find the condition number of matrix -2 -3 4

A:

Q: [3 1-1] ,then the product of A by itself two timesis 21 b If matrix A=

A: We have to find

Q: Reduce the matrix -1 -2 -4 8 A 1 3. 8- -2 1 -4 ed row-echelon form. 9:45 P Type here to search ENG…

A:

Q: 3) For the matrix [2 1 -1 0 이 2 3 1 -1 4 3

A: The determinant of the matrix can be calculated by expanding along a row or by a column. The best…

Q: 2 5 -7 (b) Express-9 12 4 as the sum of a lower triangular matrix and an upper trian- 15 -13 6.…

A: Solved below

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.