MRS EZRINDA MOHD ZAIHIDEE

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CHAPTER 7 MATRIX ALGEBRA
MRS EZRINDA MOHD ZAIHIDEE FAKULTI KEJ. ELEKTRIK
ELEKTRONIK
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7.1 Determinants 7.2 Application to the
solution of simultaneous equations
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If then to
find determinant of we can use two
methods (a) Using diagram (b) Expansion of the
cofactor
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EXAMPLE By using diagram, evaluate the
determinant of
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MINOR
If is a square matrix, the minor for
denoted by is the determinant of the
matrix after eliminating the row and the
column.
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COFACTOR
If is a square matrix, the cofactor for
is denoted by
where
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For the sign of the cofactors, just remember this
diagram
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EXAMPLE If
find (a) (b) (c)
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EXAMPLE By using cofactors, find the determinant
of
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• EXAMPLE
• Find the determinant of
• by using
• diagram
• cofactors

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CHAPTER 7 MATRIX ALGEBRA
MRS EZRINDA MOHD ZAIHIDEE FAKULTI KEJ. ELEKTRIK
ELEKTRONIK
12
7.1 Determinants 7.2 Application to the
solution of simultaneous equations
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EXAMPLE Given Write the above system of
linear equations in the form of a matrix
equation. Hence, solve the equation by using
Cramers rule.
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EXAMPLE Given Write the above system of
linear equations in the form of a matrix
equation. Hence, solve the equation by using
Cramers rule.