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Let M be a real 4×4 matrix. Consider the following statements

Q. Let M be a real 4×4 matrix. Consider the following statements: S1: M has 4 linearly independent eigenvectors. S2: M has 4 distinct eigenvalues. S3: M is non-singular (invertible). Which one among the following is TRUE? (A) S1 implies S2                                          ...

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A function 𝐹(𝐴, 𝐵, 𝐶) defined by three Boolean variables A, B and C when expressed as sum of products is given by

Q. A function 𝐹(𝐴, 𝐵, 𝐶) defined by three Boolean variables A, B and C when expressed as sum of products is given by 𝐹 = 𝐴̅ ⋅ 𝐵̅ ⋅ 𝐶̅ + 𝐴̅ ⋅ 𝐵 ⋅ 𝐶̅ + 𝐴 ⋅ 𝐵̅ ⋅ 𝐶̅ where, 𝐴̅, 𝐵̅, and 𝐶̅ are the complements of the respective variables. The product of sums (POS) form of the function F is (A) ...

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Consider 𝑝(𝑠) = 𝑠3 + 𝑎2𝑠2 + 𝑎1𝑠 + 𝑎0 with all real coefficients It is known that its derivative 𝑝′(𝑠) has no real roots

Q. Consider 𝑝(𝑠) = 𝑠3 + 𝑎2𝑠2 + 𝑎1𝑠 + 𝑎0 with all real coefficients. It is known that its derivative 𝑝′(𝑠) has no real roots. The number of real roots of 𝑝(𝑠) is (A) 0                          (B) 1                          (C) 2                          (D) 3 Ans: 1 Sol: Given p(s) = ...

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A good transimpedance amplifier has

Q. A good transimpedance amplifier has A. low input impedance and high output impedance. B. high input impedance and high output impedance. C. high input impedance and low output impedance. D. low input impedance and low output impedance. Ans: low input impedance and low output ...

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