GATE2010 q29 - Revision history

Arjun Suresh at 11:51, 15 July 2014

2014-07-15T11:51:37Z

Arjun Suresh at 11:59, 14 July 2014

2014-07-14T11:59:54Z

Arjun Suresh at 22:58, 13 July 2014

2014-07-13T22:58:36Z

Arjun Suresh at 14:32, 29 June 2014

2014-06-29T14:32:13Z

Arjun Suresh at 12:23, 29 June 2014

2014-06-29T12:23:43Z

Arjun Suresh at 17:40, 15 April 2014

2014-04-15T17:40:30Z

Arjun Suresh: Created page with "Consider the following matrix $$A = \left[\begin{array}{cc}2 & 3\\x & y \end{array}\right]$$ If the eigenvalues of A are 4 and 8, then (A) x = 4, y = 10 (B) x = 5..."

2014-04-15T17:38:46Z

Created page with "Consider the following matrix $$A = \left[\begin{array}{cc}2 & 3\\x & y \end{array}\right]$$ If the eigenvalues of A are 4 and 8, then (A) x = 4, y = 10 (B) x = 5..."

New page

Consider the following matrix
$$A = \left[\begin{array}{cc}2 & 3\\x & y \end{array}\right]$$
If the eigenvalues of A are 4 and 8, then

(A) x = 4, y = 10

(B) x = 5, y = 8

(C) x = âˆ’3,y = 9

'''(D) x = âˆ’4, y = 10'''

==={{Template:Author|Happy Mittal|{{mittalweb}} }}===

Characteristic equation for given matrix is
$$(2-λ)(y-λ)-3x = 0$$
Putting λ = 4 and 8, we get 2 equations :
$$3x+2y = 8$$
$$3x+6y = 48$$
Solving both equations, we get x = -4, y = 10. So option <b>(D)</b> is correct.

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[[Category:Linear Algebra]]
[[Category: GATE2010]]
[[Category: Linear Algebra questions]]

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 [[Category: GATE2010]]
 [[Category: Linear Algebra questions]]
-[[Category:Mathematics Questions from GATE]]
+[[Category:Mathematics questions]]

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	[[Category: Linear Algebra questions]]		[[Category: Linear Algebra questions]]
		+	[[Category:Mathematics Questions from GATE]]

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 		(B) x = 5, y = 8
-		(C) x = âˆ’3,y = 9
+		(C) x = -3,y = 9
-		'''(D) x = âˆ’4, y = 10'''
+		'''(D) x = -4, y = 10'''
 ==={{Template:Author|Happy Mittal|{{mittalweb}} }}===