Suppose that a linear system has its augmented matrix as follow 1 2 hk 2 3 1 -1 2 -1 0 What is the determinant of the coefficient matrix? B. 4h-5k+4 A. 7h-3 C. 2h-2 D. undefined

Q: Find a 3 x 3 matrix B where the determinant is 1 and the absolute value of all entries is greater…

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Q: Given the following matrix:  B = a b c         c d e        f g h Let's say that det(A) = −6.…

A: Given  det(A) = −6 det(B) = 6 E=-BA^4

Q: If the determinant of the square matrix A is not zero, then the system (a) Ax = b has a unique…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Given a 3 x 3 matrix A with determinant |A| = 4. (a) How many solution(s) X does the linear system…

A: Note: Homogenous linear system of equation AX=0 is always consistent. Either it can have unique…

Q: If A is a 3rd order matrix with a determinant of 5, then det((2A)^-1)=?

A: Using, Determinant formula

Q: Find the determinant of the given matrix: For part (a): 3 -2 [A] = 0 -3 4 4 -

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Q: Find the determinant of the following matrix: 1 20-7 -10 4 2 6 530 2 -5 21 3

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Q: Suppose you have the following system of equations: 29 x; + 26 x2 + 18 x, - 3615 6 x, + 16 x2 + 18 x…

A: We will find out the required values.

Q: If A is an n xn matrix. Which one of the following statements is always true? A. The determinant of…

A: The transpose of a matrix is obtained by changing its rows into columns and columns into rows. It is…

Q: Let A be a 3 x 3 matrix with determinant equal to 2 -4 8 then A-1 is equal to -4] If the adjoint of…

A: Given Adj(A)=2-4012-4880-4 and det(A)=2

Q: The determinant of a 3 x 3 matrix A is 4. If det (kA) = 9, then the value of the constant k is…

A: Given: |A|=4 |kA|=9 To find k value

Q: a2 az bị b2 b3 C1 C2 A = C3 Suppose that det(4) = 5. Find the determinant of the following matrix.…

A: Given matrix is    A=a1a2a3b1b2b3c1c2c3 Also, given that det(A)=5. By definition, we have,…

Q: If A is square matrix, the determinates of its element will be: [1 6 21 A = 4 1 6 4 o] l1 .a det(A)…

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Q: If X is a 3 x 3 matrix and det(X) = 3 what is the determinant of Xtr X-1. a) b) c) 1 d) 3 e) 9

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Q: Find the determinant of the following matrix                                           4      -2…

A: Ans=35 For detail go through the solution,,,I have solved in detail

Q: A 3 x 3 matrix M is given as (x 1 x-1 M 16. =2 1 1 x zero, then A 2x2 - 3x - 1 = 0 B 2x2 + 3x + 1 =…

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Q: Given that "a" and "b" are some constants, what is the determinant of the following matrix? a b o |2…

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Q: If X,Y, Z are 3 x 3 matrices, det(X) det(Z) = -15 then what is the determinant X²ytrz-!? 3, det(Y) =…

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Q: Suppose you have the following system of equations: 43 x1 + 35 x2 + 6 x3 = 4944 3 x1 + 22 x2 + 21…

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Q: If the order of matrix is m x p. And the order of B is p xn Then the order of matrix AB is O nxp O m…

A: Here I am attaching image so that you understand each and every step.

Q: Consider the following linear system: + 2x2 + Y1 3x2 + 4x3 Y2 2x1 + 4.x2 + Y3 which in matrix form…

A: The detailed solution is given below Thank you

Q: Consider the following matrix: a b A d e f .g h i -d -e -f If det (A) = - 7, what is the determinant…

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Q: (d) Consider the system of linear equations Ax = b. Without actually computing the solutions of the…

A: (d) The reduced row echelon form of the given matrix is 100010001

Q: 4. Find determinant for the following matrix: 4 4 -2 -5 -7 -3 6. 1 -2 -1 41 1. 21

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

Q: Given that "a" and "b" are some constants, what is the determinant of the following matrix? a b o 2…

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Q: If A is a 3 x 3 matrix with two identical columns. Which one of th following statements is true? A.…

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Q: If A is a 5x5 invertible matrix, then the determinant of 2A is k|A| where k is equal to (A) 2 B 32…

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Q: If A is a 5x5 invertible matrix, then the determinant of 2A is k|A| where k is equal to A 16 B 0 2…

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Q: 4. Find determinant for the following matrix: 4 4 3 1 -2 -5 -7 -3 1 -2 -1 4-

A: To find the determinant of the given matrix

Q: A, B,C are 3 x 3 matrices with det(A) = -5, det(B) = 2, det(C) = 10. choose the option which is…

A: To find the determinant of AB2C-1, we use the following properties of the determinant for m×m…

Q: Which of the following is the matrix C that satisfies the equality (CT +312) -1 3 (a) 2 -5 (:) 5 -2…

A: First take inverse on both sides of matrix equation CT+3I2-1=2714. CT+3I2-1=2714CT+3I2-1-1=2714-1…

Q: Suppose that 2 3 Solve the linear system Ax = b for each of the following matrices b: 8 (b) 15 (a)

A: Given: A-1=1213 (a) Ax=bx=A-1b Substitute the respective values. x=121346=4+124+18=1622 Therefore,…

Q: John says that for any square matrix A, (A + I )3 = A3 + 3A2 + 3A + I Is he correct? If he is,…

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Q: If the determinant of a 5 x 5 matrix A is det(A) = 9, and the matrix B is obtained from A by…

A: If A is n×n matrix then det(aA)= andet(A). Just use this property of determinant of a matrix and…

Q: If A is a 5x5 invertible matrix, then the determinant of 2A is k|A| where k is equal to A 2 B 0 с 16…

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Q: If A is a 3 x 3 matrix with two identical columns. Which one of the following statements is true? A.…

A: Given that A is a 3×3 matrix with two identical columns.

Q: Consider the following matrix: a b. A = e f -f -e P a b C If det(A) = -7, what is the determinant of…

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Q: Below is an augmented matrix, where the can be any number. Determin given system is consistent or…

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Q: Write the following system in the Matrix form AX=B (2x + 3y +z = 4 (S):{3x + 3y + z = 8 (2x +4y +z =…

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Q: Consider the following 3 x 3 system. [an a12 a13 a21 a22 a23 a31 а32 аз3 Use elementary row…

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Q: 5. By inspection, explain why the determinant of the following matrix is zero: 4 2 8 -4] -5 4 -1 10…

A: I have append the concept in the solution.

Q: If the determinant of a 4 x 4 matrix A is det(A) = 3, and the matrix D is obtained from A by adding…

A: The objective is to find det(D).

Q: If 54 = the determinant of the matrix below. 3 -4 What is the value of x?

A: We can solve this as follows:

Q: If the determinant of the coefficient matrix of the system  hx+hy = 3 -x+hy = 2 is 6, find the…

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Q: If A is a 5x5 invertible matrix, then the determinant of 2A is k|A| where k is equal to A) 32 B) 2…

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Q: Given the following matrix:  B = a b c         c d e        f g h Let's say that det(A) = −6.…

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Q: Suppose AB = AC, where B and C are nxp matrices and Ais invertible. Show that B= C. Is this true, in…

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