Suppose that w = f(r, s, t), where r = r(x, y), s = s(r, y), and t = t(x, y). Which of the following make sense mathematically and are written with the correct Leibniz notation? dw dr dw ds dw dt dy dr dy as dy at dy dw dw dr dw ds dw dt dr dr at dz dw dr + ar dy dw ds dw dt ду ds dy at dy dw dy dw dr + dz ər ar ду дr dw dw dy dw dr as dy ds dw dw dr dw ds dw dt dr dz ds dz at dr + || || || ||

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 9BEXP
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Suppose that w = f(r, s, t), where r = r(x, y), s = s(r, y), and t =
t(x, y).
Which of the following make sense mathematically and are written with the correct Leibniz notation?
dw dr
dw ds
dw dt
dy
dr dy
as dy
at dy
dw
dw dr
dw ds
dw dt
dr dr
at dz
dw dr
+
ar dy
dw ds
dw dt
ду
ds dy
at dy
dw dy
dw dr
+
dz ər
ar
ду дr
dw
dw dy
dw dr
as
dy ds
dw
dw dr
dw ds
dw dt
dr dz
ds dz
at dr
+
||
||
||
||
Transcribed Image Text:Suppose that w = f(r, s, t), where r = r(x, y), s = s(r, y), and t = t(x, y). Which of the following make sense mathematically and are written with the correct Leibniz notation? dw dr dw ds dw dt dy dr dy as dy at dy dw dw dr dw ds dw dt dr dr at dz dw dr + ar dy dw ds dw dt ду ds dy at dy dw dy dw dr + dz ər ar ду дr dw dw dy dw dr as dy ds dw dw dr dw ds dw dt dr dz ds dz at dr + || || || ||
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