Prove the identity without evaluating the determinant (Using properties). a1 b1 + tai c1+rb1 + sa1 a2 b2+ taz c2 + rb2+ sa2 = a3 b3 + taz c3+ rb3 + sa3 Ja1 a2 az b1 b2 b3 C1 c2 C3

Q: Q4. If the shaded area in the figure shown is 9 square units, find the value of a using determinant,…

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Q: |14 8 |16 7 Find the determinant of

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Q: Give example 2. Determinant of a 5 × 5 matrix using properties of determinants

A: The solution of the problem is given in the next steps.

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: Explain determinant of a matrix your own word in 100 words And also give an example of determinant…

A: Every square matrix can be associated to an expression or a number which is known as number.…

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

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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: Illustrate the multiplying any row (or column) by a scalar do to the determinant?

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Q: (4) Use determinant to find the area of the triangle with vertices (0, 0), (x1,Yı), and (x2, Y2) in…

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Q: 2. Let B = {v₁ =, √₂ =, V3 =, V4 =}. Use determinant to determine whether B is linearly independent…

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Q: 2. Find the determinant for (1 3 b) B =-5 2 1 -8 - 2 0 3 4) a) A = -1 -3 1 (-5 2 1 4.

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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: Solve for the system of linear equations using Cramer's Rule. For the determinants, use any method…

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Q: 1+a² – & 2ab -26 | 1- a +& = (1+a² +&)* 2ab 2a 26 -2a 1- a – ở

A: Let ∆=1+a2-b22ab-2b2ab1-a2+b22a2b-2a1-a2-b2 Applying R2→R2-aR3 , we get…

Q: Evaluate the determinant: 1 2 3 |-2 -1 -2 3 1 4

A: *concept:- use Cofactor expansion method, to find the determinant.

Q: Let A be a 6-by-6 matrix whose determinant is -3. Use properties of determinants to evaluate the…

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Q: the determinant 2. or otherwise, State simultancous equat lution. Briefly Justipy

A: We have to find the following given conditions according to the given information

Q: Determinar si los ángulos son coterminal 70, 430

A: In trigonometry, two angles in standard position are said to be coterminal if they share the same…

Q: Give three examples of application of determinant in engineering

A: (1) Determinant can be used to find solutions of the multi variable linear equations.