Linear-algebra Questions Set 4:
Find the value of x :
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Solve the equation for x :
(x−2)2 +2x = 7(x−2)
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Let A be a 3x3 matrix with eigen values 1,-1,0 then find the det of I+A100
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If S and P are roots of quadratic equation x2 + 4x - 2 = 0, then S2 + P2 =
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The difference of the squares of two consecutive even integers is 68. What are these numbers?
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If the roots of the equation (b – c)x2 + (c – a)x + (a – b) = 0 are equal, then
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If 2 and 3 are roots of ax2 + bx + c = 0 then which of the following is true
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The value of a for which one root of the quadratic equation (a2 − 5a + 3)x2 + (3a−1)x + 2 = 0 is twice as large as the other is
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Bhavan opened his history book, and noticed that the product of the two pages in front of him was equal to 1122. What were the numbers of those pages?
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In a class test, the sum of marks obtained by P in Mathematics and Science is 28. Had he got 3 more marks in Mathematics and 4 marks less in Science, the product of marks obtained in the two subjects would have been 180? Find the marks obtained in two subjects separately.
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