General Questions Set 1:
Which of the following is a vector quantity?
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Consider the matrices A(4x3), B(4x3), and C(2x3). The order of [(C(ATB)-1CT]T will be
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If a matrix A is a skew-symmetric matrix, then which of the following statements is true?
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A is a 3 x 4 real matrix and the system of linear equations Ax = b is inconsistent. What is the highest possible rank of matrix A?
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For the function y = -x^2 + 2x, there exists a value of c in the interval [-19765, 19767] such that f'(c) = 0.
Solution:
What functionalities should Patterson include in the adder circuit for her company's processor?
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sin(π/4 + x) when expanded in Taylor's series gives
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For any second-degree polynomial with two real, unequal roots, the relation between Rolle's point (r1) and the two roots (r2 and r3) is:
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If A and B are symmetric matrices, which of the following is true about the product A.B and B.A?
Solution:
Let f(x) = x + sin(x). Every point on the graph of f(x) is rotated by 45 degrees with respect to the origin, along the radius equal to the radius vector at that point. How many values of c that belong to the interval [0, 11π] exist such that f'(c) = 0?
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