1) Let T C d 02 = 2a + (-2) b + 3c+2d 1a + 2b + (-1) c + (-1) d (94]. [-2a +(-2) b +2c +3d i) T H ---- ii) 2T -2a + 1b + 2c + 3d Then we have:

Q: verify that3(AB) = (3A)B = A(3B)

A: Given matrix

Q: Show that 2 (-r × B)² = (r² B² – (r. B)²) And, further that r² B² (r. B)² = B² (x² + y²) - If B = B₂

A:

Q: rỉ + 10x1x2 + x = as² + ßt²

A:

Q: (4r2 – 6x + 3) + (2x² + x – 8)

A: Let us consider an expression, (ax²+bx+c)+(-dx²-ex+f) = (a-d)x²+(b-e)x+(c+f)  This is the required…

Q: Find det(B)

A: Given that: det-1A-1=-5=detA3B-1T-1A-1=-5=A3B-1T As we know, detkM=kndetkM and detM=1detM-1. (Here,…

Q: (2 + j)?

A:

Q: 16. When (2x- 3)' is subtracted from 5x, the result is x²-12x-9 2x - 12x + 9 3x + 12x-9 4) x + 12x +…

A: Given:         2x-32 is subtracted from 5x2 is    here 2x-32 is in the form of a-b2=a2+b2-2ab

Q: Show the equivalent of (2x+3y) (4x² - 6xy +9y²) + (2x − 3y)(4x² + 6xy+9y²) 16x³ for x # 0.

A:

Q: (8) lf (a-b-a) za 2b 29 (b-a-c) 2b = K²(a+b+c) ³ 2C (c-α-b) then K=

A: Given:a-b-c2a2a2bb-a-c2b2c2cc-a-b=ka+b+c3    .............1We need to find the value of k.

Q: d) 5(2¤ – 3)(3x – 4)(5x – 2) = 0 %3D -

A: The objective is to solve the above expression.

Q: what the factored form of the 1s ellowing expressons? O d? +5d -24 a.) (d+ 3)(d+8) b) &+3) (d-8)…

A: Split the middle term to factorize the polynomial.