In Exercises 13-16, determine whether the given matrices are linearly independent.1-1 02 1 01 2 016.0 2 00 3 00 1 02 60 4 90 3 5-1 1 00-1 00 0)-4 相关知识点: 试题来源: 解析 +-((艺) t c_1=100^2_2^(-1)=10^60^(-2)=10^.0^20.1^b0.01cm^2)+c_0^1c 一 !0 ●...
Write thematrixas a system oflinear equations. x=0x=0 y=0y=0 z=0z=0 Since the onlysolutiontoAx=0Ax=0is the trivialsolution, thevectorsare linearly independent. Linearly Independent ⎡⎢⎣−1614−55789⎤⎥⎦[-1614-55789] ...
Find the determinant of the matrix. If and only if the matrix has a determinant of zero, the matrix is singular. Non-singular matrices have non-zero determinants. Step 2 Find the inverse for the matrix. If the matrix has an inverse, then the matrix multiplied by its inverse will give yo...
Determine A, B, and C so that y=A cosh(Cx)+B sinh(Cx) satisfies the conditions: y"−9y=0;y(0)=2;y′(0)=1. Take C>0. Second Order Differential Equation: A differential equation in which the highest derivative is of second order ...
A linear transformation is a mapping from one vector space to another. We can use the variable {eq}T {/eq} or {eq}\phi {/eq} to represent the transformation. The transformation must satisfy two properties: {eq}1. T(u_1 + u_2) =...
How to tell if a set is transitive? Explain what is an equal and unequal set. Give relevant example along with. Define f(x) = e^(-1/x^2), x is not equal to 0, 0, x = 0. Show that f prime(0) exists. Determine whether the set S=\left \{ \begin{bmatrix} 1\\ 0...
less than 1. Due to the constraints of only interacting with neighbours,\(p_{ij} > 0\)if\((v_i,v_j) \in E\). Each interaction is characterised by the\(n \times n\)matrix of the averaging weights\({\textbf {W}} = [w_{ij}]\), so that the vector of values is updated ...
where ω is the frequency, kB is the Boltzmann constant, t is the correlation time, and Tr is the trace matrix operator, \(\bar{\alpha }\) and β are the isotropic and anisotropic components of the polarizability tensor α: \(\bar{\alpha }=\frac{1}{3}{\rm{Tr}}\alpha\) and \...
Dermal absorption of any given active substance depends on many factors, including physico-chemical properties and structure of the active substance, the matrix (PPP type) in which it is formulated and delivered to skin and its concentration and solubility in that matrix (Baynes and Riviere, 2010...
Specificity was established by examining for any interfering peaks within the range of the specific analyte being measured, in untreated RKO samples (for AZA or 5- AZA-CdR) or within blank digest matrix (for C, mC, dC and mdC). Precision and accuracy analyses were calculated from replicate ...