Please explain steps taken and why 1.13 Show that the elements 4 and 2(1+V-3) in Z[V-3] have no g.cd
Let L in R 3 be the line through the origin spanned by the vector v = 1 1 3 . Find the linear equations that define L, i.e., find a system of linear equations whose solutions are the points in L. (7) Give an example of a linear transformation from T : R 2 → R 3 with the following two properties: (a) T is not one-to-one, and (b) range(T) = ...
3. a. Prove that v . a-v v b. Explain why the above means that if a particle's speed is constant, its velocity and acceleration vector are perpendicular Hint: Differentiate both sides of the equation v2. Note that is not the same as läl; v is the magnitude of the acceleration of the particle along its instantaneous direction of motion.
Is this a dominant or recessive trait? Explain why. What are the genotypes of l-1 and l-2? What is the chance of the next child of individuals lll-5 and lll-6 is affected? (More Challenging) IV-1 marries someone with the trait, what is the chance of their child being affected?
7. V={[)a620) a vector space! Draw the vector space? Draw the graph and explain why or why not? I. Verify the axiom for polynomial. p(x) = 2t' +31° +1+1 9(x) = 4r +57 +31 + 2 8. p(t)+9(1) € P. 9. p(t)+q(t) = f(t)+p(1) 10. cp(1) EP A subspace of a vector V is a subset H that satisfies what three conditions? 12. Is 0 a subspace of R" 13. Let V, V, E V; show H = span{v. v)...
1. Algebra: Why are all these determinants zero? 3 -1 6 21 1 0 0 0 1 -2 3 -4 1 3 1 2 7 -1 2 2 1 3 5 2 3 4 5 (a) 1 1 1 1 1; (b) 2 5 2; (c) 3 0 1 -73 (d) 3 1 7 11 3 7 3 3 -1 6 21 5 2 6 10 3 3 3 3 2. Algebra: - la b c Given that d e...
(b) Explain the neutral position and hence compose the transfer characteristics graph of the LVDT [6 Marks] Enter your answer 7 Question LO1-PO2-C4 Explain the operation of a rheostat as a linear displacement transducer with a neat sketch. [5 Marks]
3. Consider a rectangular waveguide, with cross-sectional dimensions L, and L Explain why it is possible, for specific values of Lx and Ly, to have degenerate cutoff frequencies (i.e., why it is possible to have two different sets of integers {m,n) and {m,n such that ω㎜ = am+). a. b. Suppose L-2L. Find a set of degenerate cutoff frequencies.
Consider the 3 x 3 matrix A-1-ovvT where a R, 1 is the identity matrix and v the vector (a) Determine the eigenvalues and eigenvectors of A (b) Hence find a matrix which diagonalises A. (c) For which a is the matrix A singular? (d) For which α is the matrix A orthogonal ? Consider the 3 x 3 matrix A-1-ovvT where a R, 1 is the identity matrix and v the vector (a) Determine the eigenvalues and eigenvectors of...
could you please explain the solutions for 26, 27 and 28 L-a la call NaBHA " vi - V HC-0 0-CH reme CH,OH + H+ (eg, H.SO.) [2 eg of CH3OH, H20 a pdt) N", remove H,