Prove the identity without evaluating the determinant (Using properties). ai b1 + tai c1+ rb1 + sa1 a2 b2+ taz c2+ rb2+ saz= a3 b3 + taz c3+ rb3 + saz Ja1 a2 a3| bi b2 b3 Ci c2 c3

Q: 2a₁b₁ Let A ab₂+ a₂b₁ ab3 + a3b₁ a₁b₂+ a₂b₁ 2a₂b2 a3b₂+ a₂b3 b3 +3₁ a2b3 + a3b₂. Expressing 2a3b3 A…

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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: If а b с = -1 then what is the value of the determinant -y 3q + b 3r + c ? 2p 2q 2r

A: We have to find the determinant

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

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Q: 0 What is the determinant of -2 1 -2 3 6 -12? -2 3

A: Introduction: The determinant of a matrix is the scalar value computed for a given square matrix.…

Q: Find the deternminant 5d-2g Se-2h 5f-2i given def-10. shi

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Q: 2 A = 1 2 3 4 The determinant of A is -1/2 1/2 -2

A: We have to find the determinant of the matrix A =1234  formula : Consider the matrix A= abcd , Then…

Q: Use properties of determinants to evaluate the given determinant by inspection. Explain your…

A: Let A=0010523-14 To find  the determinant of A.

Q: In Exercises 46-51, evaluate each determinant. 3 2 46. 1 -2 47. -4 4 48. 1 -1 49. -5 4 1 2 1 50. 51.…

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Q: Use properties of determinants to find the value of each determinant if it is known that

A: Given Determinant             x+3y+6z+93u-13v-23w-3123 Decompose given determinant into two…

Q: Q1/ The Volume of box that determinate by A=(-i-3k) , B= (-4j+2i-3k) and C=(8i-3j+2k) ?will be 23…

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Q: |a² +1 ab ac The value of the determinant A= ba b2 + 1 bc equals cb c2 + 1 са A. a? + b? + c? B. 1-…

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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: Using only the theorems on determinants and the row/column operations, show that: 1 1 a b a² b² 1 C…

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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: B- Find the determinate ^ = 1 B 1 Lo 2 3 -2 C -2

A: For the 2*2 matrix we can find determinants by multiplying the diagonal numbers and find the…

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

A: Determinant is 4

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: Use the method of elimination to evaluate the determinant. -4 3 2 351 123 Evaluate the determinant.…

A: Here we have to find the determinant of the matrix using elimination method.

Q: 3 4 1 4. 12 24

A: Solution

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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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:…

Q: 2a₁b₁ Let A = ab₂ + a₂b₁ abz+azb a₁b₂+ a₂b₁ 2a₂b₂ azb₂ + a₂b3 a₁b3 + c3b₁ a2b3 + a3b₂. Expressing…

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