2a₁b₁ Let A ab₂+ a₂b₁ ab3 + a3b₁ a₁b₂+ a₂b₁ 2a₂b2 a3b₂+ a₂b3 b3 +3₁ a2b3 + a3b₂. Expressing 2a3b3 A as the product of two determinants, show that A = 0. Hence, show that if ax + 2hxy + by² + 2gx + 2fy + c = (x + my + n) h b f (I'x + m'y + n'), then h g g f = 0.

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: 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: Using the property of determinants, prove that |1 bc a(b+c)| 1 1 ab c(a+ b)| 2) ca b(c +a)| = 0

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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: 2. Find the determinant and invers a) -3 7 9 1 3 4 b) 1 9 3.

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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: Using determinants, find the area of the triangle whose vertices are (-1,1), (2,2), and (-2,4).…

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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: Confirm the following identity without evaluating the determinant directly a₁ b₁+ta₁ c₁ +rb₁+sa₁ a2…

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Q: 2а 2b b - c 2b 2а а+c| %3D-2(а — b)?(а + b) а +b a+ b а

A: This is a determinant problem

Q: Compute the determinant. -3 2 -2 2 0 -1 2 -2 7) 0. 0 -3 1 4 21 -3 1 05 -3 5 8) -4 3 3 3 -2 5 1

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

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: 3] Use determinants to find the values of X, Y, Z, W, M. 26 14X7Y+5Z - 11W + 21M = 33 -3X + 5Y-13Z -…

A: We have to find the values of X, Y, Z, W, and M using determinants.

Q: 3] Use determinants to find the values of X, Y, Z, W, N. 8X - 3Y + Z + 5W – 4N = 21 5X + Y + 7Z -…

A: We have: 8X-3Y+Z+5W-4N=215X+Y+7Z-13W+15N=277X+3Y+4Z-18W-12N=3511X-7Y-Z+9W+15N=5015X+10Y-7Z+2W+8N=19…

Q: Evaluate the determinant of the ナhc given mantrix using 91 92 93 result b2 bz = 5. C3

A: Given that:      a1a2a3b1b2b3c1c2c3=5

Q: 1 2 3 4 4321 (b) 21 4 3 (c) -2 3 41 2 -3 -2 10-2

A: Determinant is 4

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: Answer 16 and 17. Thank you!

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Q: Q1\ find : 4 -3 1 -1 3 -2 -7 9 5 -6 -4 8 Q2: If A= 7 and b=5, find A.b ? Q3\ Find the determinat |A|…

A: Given; 1) Subtraction of two matrices. 2) A=4 7 6.      , b=8           2 3 1             5…

Q: 3 4 1 4. 12 24

A: Solution

Q: Evaluate the determinant using Chio's method.

A: We have to find the determinant of the given matrix by chio's  method.

Q: 3279 5 3 6 -5 5-3 -16 9 -6 27 -12 25

A: Given: 3526235-575-3-169-627-12 To prove that the determinants are the same using at 2 rows in Co…

Q: 66 If a,, b, EN for i = 1,2, 3, then c e determinant; 1+x) a₁b₁ 1+ x) 0₂b₁ (1+x) a₁b₂ (1+x) 0₂b₂…

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