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Expand  in terms of the following basis set. (Verify your answer using MATLAB.)

Consider the set of all complex numbers. This can be considered a vector space, because it satisfies the ten defining properties. We can also define an inner product for this vector space  where  is...

Suppose that we have three vectors:  We want to add some multiple of y to x, so that the resulting vector is orthogonal to z.i. How would you determine the appropriate multiple of y to add to x?ii....

Consider the single-layer network shown in Figure P6.1, which has a linear transfer function. Is the transformation from the input vector to the output vector a linear transformation?

Find the value of a that makes  Show that for this value of a the vector  is orthogonal to  and that(The vector ay is the projection of  on .) Draw a diagram for the case where  and  are...