transplantation
发表于 2025-3-28 17:05:36
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保守
发表于 2025-3-28 19:26:09
Products of Linear Transformations,Let . and . be two linear transformations. We define the transformation . which consists of . followed by ., i.e., if . is any vector.We write . = . and we call ..
漫不经心
发表于 2025-3-29 02:58:38
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放大
发表于 2025-3-29 05:30:48
Determinants,Let . be a linear transformation with matrix .. The quantity.is called the determinant of the matrix . and is denoted.Expressed in these terms, Theorem 2.4 states that . has an inverse if and only if . We shall see that the determinant gives us further information about the behavior of ..
细胞学
发表于 2025-3-29 08:48:08
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比喻好
发表于 2025-3-29 13:11:07
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空气
发表于 2025-3-29 17:12:17
Vector Geometry in 3-Space,Just as in the plane, we may use vectors to express the analytic geometry of 3-dimensional space.
动作谜
发表于 2025-3-29 22:52:58
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宣称
发表于 2025-3-30 02:52:06
Sums and Products of Linear Transformations,If . and . are linear transformations, then we may define a new transformation . + . by the condition.Then by definition, (. + .)(. + .) = .(. + .) + .(. + .), and since . and . are linear transformations, this equals .(.) + .(.) + .(.) + .(.) = .(.) + .(.) + .(.) + .(.) = (. + .)(.) + (. + .)(.). Thus for every pair ., we have
intolerance
发表于 2025-3-30 06:20:26
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