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શ્રેણિક

જો $bold A bold space bold equals bold space open square brackets table row bold 2 cell bold minus bold 4 end cell row bold 3 bold 2 row cell bold minus bold 1 end cell bold 1 end table close square brackets bold space bold અન ે bold space bold B bold space bold equals bold space open square brackets table row cell bold minus bold 3 end cell bold 1 row bold 0 bold 5 row bold 4 cell bold minus bold 2 end cell end table close square brackets$ ,તો A + B, A – B, 2A + B, A – 2B શોધો.

જો $bold A bold space bold equals bold space open square brackets table row cell bold sin bold space bold theta end cell cell bold minus bold cos bold space bold theta end cell row cell bold cos bold space bold theta end cell cell bold sin bold space bold theta end cell end table close square brackets$ , તો A + A^T અને A - A^T શોધો.

જો A = diag [1 -1 2] અને B = diag [3 2 1], B – A, 2A + 3B શોધો.

શ્રેણીક સમીકરણ $open square brackets table row cell bold x to the power of bold 2 end cell row cell bold y to the power of bold 2 end cell end table close square brackets bold space bold minus bold space bold 4 bold space open square brackets table row cell bold 2 bold x end cell row bold y end table close square brackets bold space bold equals bold space open square brackets table row cell bold minus bold 7 end cell row bold 12 end table close square brackets$ નો ઉકેલ મેળવો.

જો $bold a subscript bold ij bold space bold equals bold space open parentheses bold i bold space bold minus bold space bold 2 bold j close parentheses to the power of bold 2 over bold 3 bold comma bold space bold ત ો bold space open square brackets bold a subscript bold ij close square brackets subscript bold 2 bold cross times bold 2 end subscript$ મેળવો.

bold અહ ીં bold comma bold space bold a subscript bold ij bold space bold equals bold space open parentheses bold i bold space bold minus bold space bold 2 bold j close parentheses to the power of bold 2 over bold 3 bold space bold જ ્ ય ાં i bold space bold equals bold space bold 1 bold comma bold space bold 2 bold space bold તથ ા bold space bold j bold space bold equals bold space bold 1 bold comma bold space bold 2 bold therefore bold space bold a subscript bold 11 bold space bold equals bold space open parentheses bold 1 bold space bold minus bold space bold 2 close parentheses to the power of bold 2 over bold 3 bold space bold equals bold space bold 1 over bold 3 bold comma bold space bold a subscript bold 12 bold space bold equals bold space open parentheses bold 1 bold space bold minus bold space bold 4 close parentheses to the power of bold 2 over bold 3 bold space bold equals bold space bold 3 bold space bold space bold space bold a subscript bold 21 bold space bold equals bold space open parentheses bold 2 bold space bold minus bold space bold 2 close parentheses to the power of bold 2 over bold 3 bold space bold equals bold space bold 0 bold comma bold space bold a subscript bold 22 bold space bold equals bold space open parentheses bold 2 bold space bold minus bold space bold 4 close parentheses to the power of bold 2 over bold 3 bold space bold equals bold space bold 4 over bold 3 bold હવ ે bold comma bold space bold A bold space bold equals bold space open square brackets table row cell bold a subscript bold 11 end cell cell bold a subscript bold 12 end cell row cell bold a subscript bold 21 end cell cell bold a subscript bold 22 end cell end table close square brackets bold space bold equals bold space open square brackets table row cell bold 1 over bold 3 end cell bold 3 row bold 0 cell bold 4 over bold 3 end cell end table close square brackets

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