Linear-algebra Questions Set 5:
If one of the zeroes of the quadratic polynomial x2 + 3x + k is 2, then the value of k is
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The quadratic equation x2 + px + 64 = 0 has two equal integer roots. find the sum of possible values of p.
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Solve the below linear equations
3x + 5y = 13
2x - 5y + 8= 0
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If A is a matrix of order 3 x 4, then the order of the matrix AT is
(AT = transpose of matrix A)
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Find the value of k such that the polynomial x2 - (k + 6)x + 2(2k - 1) has sum of its zeroes equal to half of their product.
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What is the highest integral value of 'k' for which the quadratic equation x2 + 4x + k = 0 will have two real and distinct roots?
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If a matrix has 8 elements, what are the possible orders it can have.
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For what positive values of k does the quadratic equation 4x2 – 12x – k = 0 have no real roots ?
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A matrix in which number of rows is equal to number of columns is called _________
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A poultry farm has only chickens and cows. When the manager of the poultry counted the heads of the stock in the farm, the number totaled up to 200. However, when the number of legs was counted, the number totaled up to 540. How many chickens were there in the farm?
Note: In the farm, each cow has 4 legs and each chicken has 2 legs.
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