find the matrix of the transformation T which maps (1,3) to (5,11) and (2,1) to (5,7) 相关知识点: 试题来源: 解析 设矩阵为{a1,a2 ; b1,b2} a1+3a2=5 b1+3b2=11 2a1+a2=5 2b1+b2=7 解得a1=2,a2=1,b1=2,b2=3 所以矩阵为{2,1 ; 2,3}...
Find the matrix X if 3 & 1 -1 & 4 X = 4 & 2 1 & 3 How to determine if transformation is a linear transformation? (1) T:R^{1} \rightarrow R^{2} is a linear transformation given by T(e_1)=(1,3)t, T(ej_2)=(-5,4) where e_1, e_2, are the column vectors of ...
百度试题 结果1 题目In Exercises 11-14, find the standard matrix of the linear transformation in the given exercise.12. Exercise 4-y3x-4 相关知识点: 试题来源: 解析 A^T=1^0-1/2-4) yA=(0,-1/2) 则A: 反馈 收藏
find the matrix of the transformation T which maps (1,3) to (5,11) and (2,1) to (5,7) 扫码下载作业帮搜索答疑一搜即得 答案解析 查看更多优质解析 解答一 举报 设矩阵为{a1,a2 ; b1,b2}a1+3a2=5b1+3b2=112a1+a2=52b1+b2=7解得a1=2,a2=1,b1=2,b2=3所以矩阵为{2,1 ; 2,3} ...
This means that it can be written as a 2x2 matrix, where the transformation of a vector v is given by v' = Tv (i.e. matrix multiplication). We also know how T transforms two given vectors, so we can write the matrix in terms of unknown variables that can be solved for: T = ...
To obtain the solution for the scalar projection, we have to divide the dot product of two vectors by the norm of the vector. The formula is {eq}\displaystyle \text{comp}_{b} a= \frac{b \cdot a}{\left| b \right|} {/eq}. To ...
The eigenvalues of a matrix are the scalars by which eigenvectors change when some transformation is applied to them. Learn how to find the eigenvalues of 2x2 and 3x3 matrices using the characteristic equation with examples.
Nullity of a Matrix: The number of vectors in a matrix’s null space is defined as its nullity. In other words, the nullity of A can be defined as the dimension of the null space of matrix A. The total number of columns in matrix A is Rank + Nullity. A = 1 0 1 0 0 1 0 ...
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