Testbank | Finite Element Analysis Applications 2nd Edition Zhuming Bi Solution Manual | FEA Systematic Approach ISBN Guide

Finite Element Analysis Applications:
A Systematic and Practical Approach
(2nd Edition, 2021) – Zhuming Bi –
Solution Manual
A rectangular array of numbers - answer-matrix



An individual entry of a matrix is a ____ - answer-element



If a matrix has equal number of row and columns, it is called a ____ - answer-Square Matrix



A matrix whose all entries are zero - answer-null matrix



x₁, x₂, x₃, are three ____ - answer-scalars



×₁, x₂→, {x₃} are three ____ - answer-vectors



A₁, A₂→, [A₃] are three ___ - answer-matrices



An operation performed on a row vector (a vector transpose) and a column vector of the same
size. The result is a scalar - answer-Scalar (Dot) Product of Two Vectors



The magnitude of a vector a, |a|, is ____ - answer-√a^Ta


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, Matrix addition is ____ : A+B=B+A

Matrix addition is ____: A+(B+C)= (A+B)+C

You can also add a ____: A+0=0+A=A - answer-commutative

associative

zero matrix



If A and B are two square matrices of the same size, then A-B is defined as the sum of A+(-1)B -
answer-A+(-1)B



For a product to be defined, the number of ___ of A must be equal to the number of ___ of B -
answer-columns

rows



Matrix multiplication is ___ (order of addition does matter): AB≠BA in general

Matrix multiplication is ___: A(BC) = (AB)C

Distributive law: A(B+C) = ___, (B+C)A = ___

Multiplication by ___ matrix: AI = A; IA = A

Multiplication by ___ matrix: A0 = 0;0A = 0

(AB)^T= B^TA^T - answer-noncommutative

associative

AB+AC

BA+CA

identity

zero


2