2a₁b₁ Let A ab₂+ a₂b₁ ab3 + a3b₁ a₁b₂+ a₂b₁ 2a₂b2 a3b₂+ a₂b3 b3 +3₁ a2b3 + a3b₂. Expressing 2a3b3 A as the product of two determinants, show that A = 0. Hence, show that if ax + 2hxy + by² + 2gx + 2fy + c = (x + my + n) h b f (I'x + m'y + n'), then h g g f = 0.

de tiA) 0,1 12, 3, 4, 1,0 2,1 What is the determinat?

Let a1 a2 az A bị b2 b3 %3D C1 C2 C3 Suppose that det(A) = 5. Find the determinant of the following matrix. aj + 3b1 C1 бај + b1 а2 + 3b2 С2 ба2 + b2 аз + 3b3 Сз баз + bз

Fill in the blanks with appropriate numbers to calculate the determinant. (a) 9 - • 4 = %3D 1 -1 -3 (b) = ? v1 : O: -3) = 3 -4 1 • 0 - • 2) 3 . -3) • 1 - 2