The eigenvectors of the matrix 12 are written in the form

The eigenvectors of the matrix 1 2 are written in the form 1 and 1 What is a + b ?
0 2 a b

Let us find the Eigen values of the matrix, (1 – λ)(2 – λ) = 0
⇒ λ = 1, 2
For λ = 1,

		0			2					1			=		0
		0			1		_2×2			a		_2×1			0

⇒ a = 0

⇒ For λ = 2,		-1			2				1		=		0
		0			0				a				0

∴ a + b = 0 +	1	=	1
	2		2

The eigenvectors of the matrix		1			2		are written in the form		1		and		1		What is a + b ?
		0			2				a				b