(a) Calculate the determinant 0 1 2 -1 1 0 20 3 (b) Hence, or otherwise, state whether the following simultaneous equations have a unique solution. Briefly justify your answer. y + 2z = 1, -x+y = 3, 2x + 3z = 2.

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: |14 8 |16 7 Find the determinant of

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A: a)  M12= (-1)1+2 -210-9=(-1)3 [ (-2 )(-9)-0]=(-1) [18]=-18

Q: Calculate the determinant. j k -1 9 0 7 i 1 4

A: Given determinant: ijk1-19407

Q: Calculate the 3 × 3 determinant. (Use symbolic notation and fractions where needed.) -2 2 9 2| = 6…

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Q: ) Solve the below pair of simultaneous equations using determinants: 4x − 2y = 0 5x + 3y + 11 = 0

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Q: 3. 3x + 4y + z = 10 2x - 3y + 5z + 9 = 0 x +2y-z = 6

A: The given system of equations,We have to find the solve this system using the determinants.

Q: Find the value of the determinant D given by: D = a b 3 d -4 с 6 9 9 where a = 2, b = 5, c = 12, d =…

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Q: T-3 -1 1 -2 -1 3 2 1 1 2 3 -1 -2 1 -1

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Q: (b) Let a b c def gh hi and let det(A) = 6. Find the following determinants: (i) det (((34)²)) (ii)…

A: This question is about evaluation of determinant.

Q: c) Solve x based on the value of Determinant: 6х 1 3 = -4 1 Answer: -2/9, 1 1 х 2 22 X

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Q: Find the value of each determinant.

A: ABC-13550-2

Q: |-1 Solve for the determinant of A = |-2 0 -3| 2 -41 2 |-1 -1 1

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Q: Use the fact that to compute the following determinant. a b def 9 h i |9a 96 9c d g e f h i || - с =…

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Q: Solve the given system of the equations using the method of determinants 3x+y+2= = 3 2x-3y-z=-3…

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Q: Find the determinant of: B = OX-2 O-1-2x 0-x-2 0 1 - 2x None of the above O No answer 5471 2100 1 x…

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Q: Find the value of x, from the following determinant: 1 -3 = 3x2 – 8x – 31 -2 1 -1

A: According to the given information, it is required to find the value of x.

Q: 4. 1.2p2.3q - 3.1r + 10.1 = 0 4.7 +3.8q - 5.3r - 21.5 = 0 3.7p - 8.3q + 7.4r + 28.1 = 0

A: The system of equations is:To solve using determinants.

Q: Solve the problem below. Evaluate the determinant: 1 2 3 -2 -1 -2 3 4

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Q: Solve the system of equations in three variables using determinants. 2x + y 2z = −1 3r3yz = 5 x – 2y…

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Q: (2x + y - 3z = -9 | x + 5z = 14 | −3x + 2y - z = 4). From 3 (three) equations, what is the value of…

A: Solution :-

Q: Calculate the 3 x 3 determinant. (Use symbolic notation and fractions where needed.) -3 0 0 0 0 0 3…

A: It is required to solve the given 3x3 determinant.

Q: Solve the below pair of simultaneous equations using determinants: 3x + y -15 = 0 2x - y - 5 = 0

A: Rewrite the equation as  3x+y=152x-y=5 write the equation in matrix form  D=312-1 find the…

Q: Solve this equation by using the Determinant method. 2x+5y=10 4x+10y=20

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Q: Find the value of each determinant.

A: To find the determinant

Q: Can you use elementary row column operations to find the determinant

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Q: Find the cofactor of -3 in the determinant 1 44 -359 2 12

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Q: +2: = 3

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Q: 2X +3Y+5Z 6X -2Y -3Z 8X-5Y-6Z X+Y+2Z 2X+ Y + Z X + 2Y + Z 6X-4Y+5Z 3X + 2Y 5X + 4Z = 0 = 3 = 1 m H…

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Q: Calculate the 2 x 2 determinant. (Use symbolic notation and fractions where needed.)

A: Determinant: the determinant is a scalar value that is a function of the entries of a square matrix.…

Q: abc -4a -4b -4c If de f =2, what is the value of the determinant 2f ? g-9d h-9e i-9f 2d 2e ghi O -16…

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Q: Find the determinant of C = 3 -2 -5 -7 O-41 O-31 O 31 95

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