討論串(共4篇) - [線代] linearly independent - 看板Math

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討論串[線代] linearly independent

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[線代] linearly independent

推噓1(1推 )留言6則，0人參與作者sm008150204 (風切羽狂)時間14年前 (2011/05/08 18:53)資訊

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Let y1,y2,y3 be column vetor.. Note that [y1 y2 y3] = [Ax1 Ax2 Ax3]= A[x1 x2 x3] all of them are 3x3 matrix. Since y1,y2,y3 are linearly independent ,

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[線代] linearly independent

推噓1(1推 )留言3則，0人參與作者mqazz1 (無法顯示)時間14年前 (2011/05/08 16:10)資訊

內容預覽:

let A be a 3*3 matrix and let x1, x2 and x3 be vector in R^3. show that if the vectors. y1 = Ax1. y2 = Ax2. y3 = Ax3. are linearly independent, then t

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[線代] linearly independent

推噓2(2推 )留言2則，0人參與作者mqazz1 (無法顯示)時間14年前 (2011/05/05 23:43)資訊

內容預覽:

let x1, x2 and x3 be linearly independent vectors in R^n and let. y1 = x1 + x2. y2 = x2 + x3. y3 = x3 + x1. are y1, y2, and y3 linearly independent?.

[線代] linearly independent

推噓1(1推 )留言1則，0人參與作者mqazz1 (無法顯示)時間14年前 (2011/04/02 20:17)資訊

內容預覽:

let β ={ x1, x2, ..., xn} be a subset of V, and. let β'={x1+2x2, x2+2x3, ..., xn+2x1}, where n>=3. then, β is linearly independent if and only if β' i

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