Semana 4 de matematica, Diapositivas de Matemáticas

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𝑚 × 1 𝐵 =

2. 4 × 10

7

3. 35
4. (^045 4) × 1

𝐴 = 1 ,^8 289 100 1 × 3

1 × 𝑛 𝐴 = 𝑎 11 𝑎 12 ⋯^ 𝑎 1 𝑛 𝐶 = (^1). (^5 288 100 1) × 3

𝟎 =

0 0 2 × 2

h

𝑚 = 𝑛 𝒏. 𝑎 11 𝑎 22 𝑎𝑛𝑛 𝐴. 𝐸 =

54 − 20 2 × 2

𝐴, 𝑇𝑟 𝐴 = 𝑎 11 + 𝑎 22 + ⋯ + 𝑎𝑛𝑛 𝐴 =

1500 32 125 3 × 3

𝐴 = 𝐴𝑡. 𝑎𝑖𝑗 = 0 𝑖 < 𝑗 𝑖, 𝑗 = 1 , 2 ,... , 𝑛. 𝐶 =

− 400 20 2 × 2

− 9 20 125 3 × 3

4 , 5 20 2 × 2

− 4 8. 5 125 3 × 3

𝑚 × 𝑛, 𝐴𝑡^ 𝐴𝑇

𝑛 × 𝑚 𝑖 − 𝑗 −

𝐴𝑡^ = 𝑎𝑗𝑖

𝑛×𝑚

𝑛×𝑚 𝐴 =

2 − 7 11 2 × 3

𝐴𝑡^ =

9 11 3 × 2

𝐴 𝐴.

𝑚×𝑛 𝑚 × 𝑛 k k𝐴 𝑚 × 𝑛 k𝐴 = k𝑎𝑖𝑗 𝑚×𝑛 k𝐴 𝑚 × 𝑛 𝐴 k. 13 32 54 37 67 40 𝑀 = 13 32 54 37 67 40 3 𝑀 = 3 13 32 54 37 67 40 = 39 96 162 111 201 120

𝑚×𝑛

𝑚 × 𝑛 − 1 𝐴 = −𝐴

𝑚×𝑛

𝑚×𝑛

𝑚 × 𝑛 𝐴 𝐵

𝒎×𝒏 𝐴 − 𝐵 𝑚 × 𝑛. 𝐴 = 𝑎𝑖𝑗 𝑚×𝑛

𝑚×𝑛

𝑚 × 𝑛.

𝑄 = (^50 70 ) 𝑅 = 5 12 8 11 10 9 17 5 9 7 6 10 6 6 8 𝑄 = 50 70 120 𝑄𝑅 𝑄𝑅 = (^50 70 ) 5 12 8 11 10 9 17 5 9 7 6 10 6 6 8 𝑄𝑅 =

𝑅 = 5 12 8 11 10 9 17 5 9 7 6 10 6 6 8 𝐶 = 45 66 58 120 32 𝑅𝐶 = 5 12 8 11 10 9 17 5 9 7 6 10 6 6 8 45 66 58 120 32 =

2 × 2

2 × 2 𝐴

𝐴 𝑛 × 𝑛 𝑀𝑖𝑗 (𝑛 − 1 ) × (𝑛 − 1 ) 𝐴