HT01_Matrices_Comma-Ing..pdf - COMMA PARA INGENIEROS UNIDAD I MATRICES SISTEMAS DE ECUACIONES LINEALES Y RELACIONES BINARIAS SESIÓN 01 MATRICES

HT01_Matrices_Comma-Ing..pdf - COMMA PARA INGENIEROS UNIDAD...

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DEPARTAMENTO DE CIENCIAS FACULTAD DE INGENIERÍA COMMA PARA INGENIEROS UNIDAD I: MATRICES, SISTEMAS DE ECUACIONES LINEALES Y RELACIONES BINARIAS SESIÓN 01: MATRICES, OPERACIONES Y MATRICES ESPECIALES NIVEL I: 1. En la matriz indica la posición de los elementos ? ?? señalados. ? = [ 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 ] 2. En la matriz: ? = [ 2 6 0 8 3 9 1 7 5 ] . Halle 3? 13 − 2? 31 − 5? 32 + 7? 23 3. Identifica las siguientes matrices: [ 1 0 0 0 1 0 0 0 1 ] [ 1 0 0 0 3 6 0 0 2 1 0 0 1 0 5 7 ] [ 1 2 3 7 0 5 1 2 0 0 0 3 0 0 0 7 ] [ 3 0 0 0 3 0 0 0 3 ] _______________ ______________ _____________ _____________ 4. Dadas las siguientes matrices: ? = ( 1 2 3 4 5 6 7 8 9 ) ? = ( 1 0 0 0 0 1 0 1 0 ) ? = ( 0 −1 0 1 0 0 0 0 1 ) ? = ( 1 0 1 0 1 1 1 0 0 ) . Halle: ? + ?, ? − ?, ?. ?, ?. ?, ?. ?, ?. ?, ?. ? ? ?. ? 5. Dada la matriz ? = ( ? 2 − 1 4 − ? ? 2 − 2 ? ) determinar 7? para que ? sea simétrica. 6. Una familia gasta: en enero S/. 1 400 en comida y S/. 1 500 en vestir; en febrero, S/. 1 500 en comida y S/. 1 000 en vestir; y en marzo, S/. 1 370 en comida y S/. 900 en vestir. Represente esta información en forma matricial (orden 2?3 ) 7. Construir la siguiente matriz ? = [? ?? ] 3𝑥3 tales que: ? ?? = ? + ? − 2 NIVEL II: 8. Construye las siguientes matrices: 𝑨 = (𝒂 ??
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