Ba A transformation is defined by the 2 × 2 matrix b - A = a+b a where a and b are scalars. If n is an odd integer, prove that A" = Bb 4 - 2г A B C f(x) %3D %3D (x+ 1)(x+3)(2x +1) (x+1) ' (x +3) ' (2x + 1) find the values of A,B,C 3c The point A has coordinates (-3, 2) and the point B has coordinates (7, k). The line AB has equation 3x + 5y = 1 i Show that k = -4 ii Find the coordinates of the mid-point of AB iii Find the gradient of AB

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A: Solution:-

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A: This problem is related to the vector algebra. The problem is solved in the following image.

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Q: to B=101 t00 select all true •If AB =Ithen BA=I AB=I 'AB=I but nut BA=I "BA-I inone of these %3D

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A: Detailed explanation mentioned below

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A: Given: The equations  06-1-1A+5-534B=4-60-2T0-211A+-4-8-3-6B=3-47-3T

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A: As we know that (A-B)(A+B) = AA+AB-BA-BB=A2+AB-BA-B2here AB need not to be equal to the BA. Because…

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A: Note that, the matrix is said to be singular if the determinant of the matrix is 0.

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A: Given,                  A=123231312

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A: Now we will find A-1 . Where I is identity matrix.

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