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The complex transformations between z, And z – HP 15c User Manual

Page 164

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164 Section 12: Calculating with Matrices

Matrix A now represents the complex matrix Z in Z

P

form:

P art

Imaginary

P art

Real

.

8

5

2

3

3

1

7

4

}

}

P

Z

A

The Complex Transformations Between Z

P

and Z

An additional transformation must be done when you want to calculate the
product of two complex matrices, and still another when you want to
calculate the inverse of a complex matrix. These transformations convert
between the Z

P

representation of an m×n complex matrix and a 2m×2n

partitioned matrix of the following form:

X

Y

Y

X

Z

.

The matrix created by the > 2 transformation has twice as many
elements as Z

P

.

For example, the matrices below show how is related to Z

P

.

6

1

5

4

5

4

6

1

~

5

4

6

1

Z

Z

P

The transformations that convert the representation of a complex matrix
between Z

P

and are shown in the following table.

Pressing

Transforms

Into

´ > 2

Z

P

´ > 3

Z

P

To do either of these transformations, recall the descriptor of Z

P

or into

the display, then press the keys shown above. The transformation is done to
the specified matrix; the result matrix is not affected.