a1 bị C1 b2 c2 is given by az b2 The determinant of a 3 x 3 matrix A = | a2 bs CзJ |A| = a1 + az a2

Q: 3 4 2 1 (a) 1 5 7 (b) -6 3 -2 2 -6 -1 7 1 -1, | 2nd row and 1st column 3rd row and 2nd column 5 -1 6…

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Q: Let A = [1 1 2 1 2 -3 5 4 L3 2 -1 1 -1 0 4] 6 and B = a) Find the determinant of A. b) Solve the…

A: Firstly, we will find the determinant by using row operations and then solve the given system of…

Q: 2a₂b₁ Let A = ab₂ + a₂b₁ a₁b3 + a3b₁ a₁b₂+ a₂b₁ 2a₂b₂ a3b₂+ a₂b3 a₁b3 +azb a₂b3+a3b₂. Expressing…

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Q: Find the determinant of M = (a4-b4)/(a-b) , given that matrix M is:            [ (a+b) (ab) (0) M =…

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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: Find the determinant of the matrix. -4 6 2. -/2

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Q: Compute the determinant of the matrix by cofactor expansion. [355 1 4 1 |3 2 3 Select one: O A.-50…

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Q: Explain the fact” The determinant is zero when the matrix has no inverse”.

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Q: Let A 2x2 matrix. A satisfies with tr (A² ) = 5 and tr ( A) = 3. Find determinant of A.

A: Use property of eigen value

Q: Explain why the determinant of a square matrix A is the same as the determinant of the transpose of…

A: Explanation

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: TRUE OR FALSE AND WHY If A is a 2 x 2 matrix with a zero determinant, then one row of A is a…

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Q: Matrix obtained by changing the rows into columns or columns into rows is called O a. determinant O…

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Q: Use the determinant of a matrix to find the area of the triangle whose vertices are (-2,- 7), (6,…

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Q: What is the determinant of the matrix O O O 4 32 1 2 -1 3 1 2 2 3 2 -1 -1 1 2 -1 2 ?

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Q: Given the matrix 3-40000 10 5-300 000 0050000 000-10000 00002-30 000005 4 00004 2 3 Find the…

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Q: The correct determinant value for the determinant O (7)(5) - (8)(2). O (7)(2) + (5)(8). O (7)(8) -…

A: To answer the given MCQs.

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: find the determinant of the matrx 6 -6 -7 8 Give just a number for your answer

A: The given matrix 6-6-78 The determinant of a 2×2 matrix is found by abcd=ad-bc

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: Find the determinant using Gaussian Elimination Methoc 5w + 6x - 5y + 11z = 7 10w + 36x + 10y – 17z…

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Q: A as the product of two determinants, show that A = 0. Hence, show that if ax² + 2hxy + by² + 2gx +…

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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: 3x3 Matrix Determinant 8 4 3 -5 -2 7 9. 9 -8

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