Consider the matrix. x 55 K = 0 27 46 ,x € R 0 65 84 40 If we know that |K| is different from zero, the operation on the rows of K that allows calculating the determinant by means of the product of the elements of the main diagonal corresponds to: A)을 Fa + Fs 27 B) F, + F, 27 CE F, + F, D F, + F,

Q: 1) If A = Find:- a) B2 5 -1-2 4 (2) -1 -2 and B = 3 b) determinant A c) Adjoint B d) A-¹

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Q: Jse determinant to calculate the area of a triangle with the following vertices: A = [2,1] B = [8,7]…

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Q: 9. 4 -6 -21 7 3. 8 -3 4 -7 8 8 0 13 17 31 7 9 4 23 4. -6 11 0 3 6 0

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Q: 2) a) Using matrix method solve the following simultaneous equations 2x + 4y = 8 x- 3y = -1 a) Find…

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Q: Reduce the given determinant to upper triangular form 2 32 14 26 104 26-13 2 56 2 7 40 15 1 12 23 2…

A: The determinant of an upper triangular matrix is the product of diagonal elements.

Q: . Prove that,if row 2 of a 3 by 3 determinant is multiplied by k,k ≠0, and the result is added to…

A: Explanation: Given that, 3×3 matrix  Suppose  A=abcdefghi Find the determinant of A…

Q: Find the determinant of the matrix. Expand by cofactors using the indicated row or column. 2 5 6 -3…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Let A, B and C be points on the plane with the following coordinates: A = (9,–4), B = (32,13), C =…

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Q: GIVE 2 EXAMPLES FOR THIS THEOREM OF DETERMINANTS Theorem 6: If we express the elements of each row…

A: We will find out the required examples.

Q: Prove the identity without evaluating the determinant (Using properties). ai b1 + tai c1+ rb1 + sa1…

A: Note the following properties of determinant : Property 1 : If any two rows (or columns) of any…

Q: Write a program that does the following: 1) Use the “ones" and the "eye" inbuilt functions to create…

A: Note: Since you have posted multiple independent questions, according to our policy we are only…

Q: Let P, Q, R, S be points in the plane. A parallelogram PQRS (where consecutive points are endpoints…

A: To find the area of the parallelogram PQRS using a determinant, we can use the formula  Area…

Q: Using determinants, find area of each: A. (1,4) (10,2) (8,12) B. (1,-9)(6,-3)(-3,1)(-5,-6) C.…

A: The given problem is related with area of quadrilateral. We have to find the area of the following…

Q: (:) -5) and B=( 6 -3 3 2 1) If A = ( 3 4 Find:- a) A? b) determinant A c) adjoint A d) B-'

A: As per our company policy, we are supposed to answer only first question. For the rest please repost…

Q: If the determinant of the 2x2 matrix 3 a 2 b is 7, then what is the determinant of the 2x2 matrix a…

A: To find the determinant of matrix.

Q: Let-[:] and v-[³] u= v= Compute the area of the parallelogram determined by u, v, u + v, and 0, and…

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Q: Oppgåve 2. a) Use row and column expansion and calculate the determinant of the matrix [2 1 -1 0 b 2…

A: Please see the below picture for detailed solution.

Q: Find the determinant of the matrix below: 1 2 3 41 0 b 0 1 Lo a 2 3 0 4]

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Q: If a₁, 92, 93, determinant: ... are in A.P., then find the value of the following ap+ap+m+ap+2m…

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Q: Find the area of a triangle with given vertices using determinants: A(0,0), B(3,1) and C(1,5) 8 5 7…

A: This question is based on finding area of triangle using determinant.

Q: Use determinant to calculate the area of a parallelogram with the following vertices: A = [4,4] B =…

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Q: 1)  If A =     2   1     and   B =    2    -3                   8   6                      -1    -2…

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

Q: By using the properties of determinant prove that a? |b² + c² b² a? c2 + a? b2 4a?b?c? c2 c2 a² + b²

A: By using the determinant property that is:…