linear angebra(group assingment).docx

# linear angebra(group assingment).docx - SQQM2023 LINEAR...

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SQQM2023 LINEAR ALGEBRA GROUP C GROUP PROJECT ( USING MICROSOFT EXCEL ) GROUP LEADER : MUZHAFFAR BIN MOHAMAD MARZUKI ( 233953 ) GROUP MEMBERS : 1 MUHAMMAD HERMAN BIN HAMZAH ( 235105 ) 2 MOHAMAD HAFFIZAIMAN BIN ROMLI ( 235101 ) 3 NOR SYAZWANI ATIQAH BINTI DZULKARNAIN ( 234562 ) LECTURER’S NAME : DR NAZIHAH BINTI AHMAD

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QUESTION 1 Generate n x n matrices A, B, C & D where n > 10 and scalars k & l Step 1 : form a matrix 11 x 11 for matrix A , B , C & D MATRIX A MATRIX B
MATRIX C MATRIX D’

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Verify whether each of the following statements is true of false a ) A+B = B+A A+B = SUM ( C2, C14 ) B+A= SUM ( C14, C2 ) MATRIX A denoted by C2 , while MATRIX B denoted by C14 Therefore , A+ B = B + A is TRUE
b) ( B – C ) D = BD – CD ( B – C ) D = MMULT(MATRIX_B-MATRIX_C),MATRIX_D) BD-CD = {=MMULT(MATRIX_B,MATRIX_D)-MMULT(MATRIX_C,MATRIX_D))} Therefore, ( B-C )D = BD – CD is true

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c) ( k – l ) A = kA - lA ( k- l ) A = ( SCALAR_K-SCALAR_L)*MATRIX_A *Where scalar k is 5 and scalar l is 3 kA – lA= (SCALAR_K*MATRIX_A)-(SCALAR_L*MATRIX_A) Therefore , ( k – l ) A = kA – lA is true
d) (BC) T = B T C T 1 st step – Multiply MATRIX B and MATRIX C ( BC) = MMULT(B13,N1) MATRIX B denoted by B13 and MATRIX C denoted by N1 2 nd step – Transpose (BC) (BC) T =

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To get B T C T , i find B T first then find C T and multiply it . B T = TRANSPOSE(MATRIX_B) C T = TRANSPOSE(MATRIX_C)

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B T C T =(C73*C85) B T is denoted by C73 and C T is denoted by C85 Therefore , (BC) T = B T C T is true
2) Generate a nonhomogeneous system AX = B , where the size of the coefficient matrix is greater than eleven which has a unique solution. The entries of A are nonzero distinct real numbers.

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• Spring '16
• DR ADYDA IBRAHIM
• determinant Matrix

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