The Determinant of a Scalar Multiple of a Matrix In Exercises 7-14, use the fact that |cA| = c"|A| to evaluate the determinant of the n × n matrix. 21 [15_15 28-56 7. A - 8. A = = 71

Q: Solve for x, y and z x + 2y - z = 0 2x + 3y - 2z = 3 -x - 4y + 3z = - 2

A: x+2y-z=0            i2x+3y-2y=3        ii-x-4y+3z=-2    iiii+iii-2y+2z=-2⇒-y+z=-1…

Q: Find curl (3z i + 4x j + 9y k). curl (3z i + 4x j + 9y k) = ( i )i + ( i

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Q: Which statement about the linear equation 3a + 1/3 * (6a - 9) = 1/2 * (10a - 6) is true?

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Q: Find curl (5z i + 6x j + 3y k). curl (5z i + 6x j + 3y k) = ( i )i + ( i i )k

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Q: Solve the particular solution (D2+3D+5)y = 5e-xsin2x using  D- operator method.

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Q: Prove that the equation ax + b = c has a unique solution where a, b, c constants and a≠0.

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Q: Find x and y if (-3x - 9) + 4i = 6 + (3y - 2)i.

A: Given that,  (-3x - 9) + 4i = 6 + (3y - 2)i To solve for x and y, need to use below property of…

Q: solve this linear equation using cramers rule x+ y−z=0 2 x−3 y+z=1 2 x+ y+2 z=7

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Q: Which of the following is the standard equation of 9y² – x² + 2x+ 54y+62

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Q: (b) Use Euler's method with step size At = 0.5 to approximate this so- lution, and check how close…

A: note :As per the instructions we will only solve part (b) of the question.

Q: Why did the x3 become the one to become t? how do i know what would i choose as the free variable?

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Q: find x and y if (2x+1,y)=(5x+4, -7)

A: Given: 2x+1,y=5x+4,-7

Q: 18. Find the standard form of the equation. 36x + 288x+64y² -768y +576= 0 (x-6)° ¸ (v+4)² _ [A] 1 36…

A: Given equation

Q: -3.x + 9y + 6z = 18 -2x – 3y + 2z = -8 4.r + 6y – 4z= 68

A:

Q: Find curl (5z i + 6x j + 2y k). curl (5z i + 6x j+ 2y k) = ( i )i + ( i )j + ( i )k Save for Later

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Q: A section of an electrical circuit has two relays, numbered 1 and 2, operating in parallel. The…

A: Solution

Q: Find a, b, c, d for P(x) : = ax3 + bx? + cx + d if P(1) = 11, b = 3d, a = 2c and P(x) = Q(x) + x+1'

A: Polynomial and remainder

Q: Find numbers a and b such that ax + by =(9, -1, 10), where x =(3, -1, 0) and y =(0, 1, 5). Is there…

A:

Q: Find curl (8z i + 9x j + 8y k). curl (8z i + 9x j + 8y k) = ( i )i + ( i )j + ( i )k

A: We know: Where P, Q and R correspond to the components of a given vector field:F→=Pi→+Qj→+Rk→ curl…

Q: What is the difference between the minor of an element aij and the cofactor of the element?

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Q: Select all equations that are equivalent to a-6z 16. a + 6x 9 0 O b a + 6x +9 = 16 Oc a+6x + 9 = 25…

A: Solution:-Given equation,     x2+6x=16  —1let us see and solve each option given,a…

Q: Use Cramer’s rule to solve for x 2x=3y-4z+11 9x+y=z-1 3x-4y=7

A: Given,