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If T is a linear operator on an inner product space is the norm of Tx equals norm of x if and only if inner product of Tx and Ty equals inner product of x and y?
Wiki User
∙ 15y ago
no -- consider linear map sending entire source space to zero of target space
Wiki User
∙ 15y ago
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What are the properties of a dot product?
In mathematics, the dot product is an algebraic operation that takes two equal-length sequences of numbers (usually vectors) and returns a single number obtained by multiplying corresponding entries and adding up those products. The name is derived from the interpunct "●" that is often used to designate this operation; the alternative name scalar product emphasizes the scalar result, rather than a vector result.The principal use of this product is the inner product in a Euclidean vector space: when two vectors are expressed in an Orthonormal basis, the dot product of their coordinate vectors gives their inner product. For this geometric interpretation, scalars must be taken to be Real. The dot product can be defined in a more general field, for instance the complex number field, but many properties would be different. In three dimensional space, the dot product contrasts with the cross product, which produces a vector as result.
The equation of the inner circle is x2 plus y2 equals 4 the radius of the outer circle is four times the radius of the inner circle write the equation of the outer circle?
The inner circle is x2 + y2 = 4. The radius of the inner circle is the square root of 4, which is 2. To find the radius of the outer circle, multiply 2 times 4. The radius of the outer circle is 8. Square 8 (82 or 8 x 8) to find the number to put into the equation of the outer circle. This is 64. The equation for the outer circle is x2 + y2 = 64.
How are slip off slopes formed?
A slip-off slope is a gentle slope formed as a result of deposition on the inner bank. The sediments removed from the outer bank are carried by the current of the water to the inner bank and deposited. This occurs because the friction between the inner bank and the water is greater than at the outer bank( where the current is fastest) and so reduces its velocity with deposition. The water at the inner bank gets shallower which results in a slip-off slope.
What does foil stand for in algebra?
First outer inner last(in that order).
How do you find wall thickness of pipe knowing the outside diameter and inner diameter of pipe?
Outer radius minus inner radius Subtract the inside diameter from the outside diameter, then divide the difference by 2.
Prove that Hilbert Space is a Metric Space?
The question doesn't make sense, or alternatively it is true by definition. A Hilbert Space is a complete inner product space - complete in the metric induced by the norm defined by the inner product over the space. In other words an inner product space is a vector space with an inner product defined on it. An inner product then defines a norm on the space, and every norm on a space induces a metric. A Hilbert Space is thus also a complete metric space, simply where the metric is induced by the inner product.
What is the two method to findthe product of binomial?
FOILMultiply First Outer Inner LastThen add the outer and inner.
Which of the inner planets has a regolith that is largely the product of weathering?
earth.
What are propriety products?
proprietary product is owned exclusively by one company that guards knowledge about the technology or the product's inner workings
The sense organs for your vestibular sense are the?
Otoliths sense linear accelerations. The semicircular canal system sense rotations. Both are located in the inner ear.
What has the author K Meerbergen written?
K. Meerbergen has written: 'The Lanczos method with semi-inner product'
The equation of the inner circle is x2 plus y2 equals 9 The radius of the outer circle is twice the radius of the inner circle What is the equation of the outer circle?
x^2+y^2=36
How many air miles from tianjin china to hohhot inner Mongolia?
The air distance from Tianjin, China, to Hohhot, Inner Mongolian Autonomous Region, is 315 miles. That equals 507 kilometers or 274 nautical miles.
What are the types of promotional message that would be most suitable for inner directed consumers?
Inner-directed consumers tend to rely on their own inner values or standards in evaluating new products and are likely to be consumer innovators. Inner-directed people seem to prefer ads that stress product features and personal benefits, which enabling them to use their own values and standards in evaluating products.
What are the types of promotional message that would be most suitable for inner-directed consumers?
Inner-directed consumers tend to rely on their own inner values or standards in evaluating new products and are likely to be consumer innovators. Inner-directed people seem to prefer ads that stress product features and personal benefits, which enabling them to use their own values and standards in evaluating products.
What is the best hair care product to use when you have split ends?
Use products from Suave and Garnier to strengthen your hair and release its inner beauty
How many valence electrons does nitrogen z equals 7 have?
Five: When z equals 7, the total number of electrons must also be 7, but 2 of them are in the filled inner shell of a nitrogen atom and therefore are not valence electrons.
