HP 50g HP 50g_user's manual_English_HDPSG49AEM8.pdf - Page 120
The identity matrix, The inverse matrix, To verify the properties of the inverse matrix
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The identity matrix The identity matrix has the property that A⋅I = I⋅A = A. To verify this property we present the following examples using the matrices stored earlier on. Use function IDN (find it in the MTH/MATRIX/MAKE menu) to generate the identity matrix as shown here: The inverse matrix The inverse of a square matrix A is the matrix A-1 such that A⋅A-1 = A-1⋅A = I, where I is the identity matrix of the same dimensions as A. The inverse of a matrix is obtained in the calculator by using the inverse function, INV (i.e., the Y key). Examples of the inverse of some of the matrices stored earlier are presented next: To verify the properties of the inverse matrix, we present the following multiplications: Page 9-7
Page 9-7
The identity matrix
The identity matrix has the property that
A
⋅
I
=
I
⋅
A
=
A
.
To verify this
property we present the following examples using the matrices stored
earlier on.
Use function IDN (find it in the MTH/MATRIX/MAKE menu) to
generate the identity matrix as shown here:
The inverse matrix
The inverse of a square matrix
A
is the matrix
A
-1
such that
A
⋅
A
-1
=
A
-1
⋅
A
=
I
, where
I
is the identity matrix of the same dimensions as
A
.
The inverse
of a matrix is obtained in the calculator by using the inverse function, INV
(i.e., the
Y
key).
Examples of the inverse of some of the matrices stored
earlier are presented next:
To verify the properties of the inverse matrix, we present the following
multiplications: