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Solution :

(i)`2A+B+X = 0`<br>
Let `X = [[a,b],[c,d]]`<br>
`=>2[[-1,2],[3,4]] +[[3,-2],[1,5]] +[[a,b],[c,d]] = [[0,0],[0,0]]`<br>
`=>-2+3+a = 0 => a= -1`<br>
`=>4-2+b = 0=> b = -2`<br>
`=>6+1+c = 0 => c = -7`<br>
`=>8+5+d = 0 => d = -13`<br>
`:. X = [[-1,-2],[-7,-13]]`<br><br>
(ii) `2A+3X= 5B => 3X = 5B-2A`<br>
`=>3X = 5[[2,-2],[4,2],[-5,1]] - 2[[8,0],[4,-2],[3,6]]`<br>
`=>3X = [[-6,-10],[12,14],[-31,-7]]`<br>
`=>X = [[-2,-10/3],[4,14/3],[-31/3,-7/3]].`<br>Transcript

Time | Transcript |
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00:00 - 00:59 | this question we have given that find the matrix exercise that to a + b + x is equal to zero where is equal to minus 1 2 3 4 is equal to 3 minus 15 if equal to 80 4 - 2336 and b is equal to 2 - 24 2 - 51 of order 3 by 2 and 2A + 3V to 5v now we have given that this is equal to a + b + x is equal to zero at least two way to order also two way to order now let x is equal to to order a b c and d |

01:00 - 01:59 | also two way to order now x is equal to this can be written as -2 a b now x is equal to value of x is a b c and d is equal to minus 2 into a matrix A - 1 2 3 4 + bh3 -215 this will be equal to minus minus 2 into 3 6 12 24 to 48 |

02:00 - 02:59 | 83 -215 will be equal to minus this is - 2 + 3 is equal to 1 + - 2 this is 26 + 18 + 5:30 now this is equal to -1 - 2 - 7 - 13 this is the matrix X next we have given that next page to A Plus TV and 2A + 3 X equal to 5v 2A + free |

03:00 - 03:59 | equal to 5 PS3 x is equal to this will be 5P -2 a default value of a matrix b is equal to minus 24 22 - 24 2 and minus 5 1 -2 Matrix 2804 - 2804 - 26 this will be the value of 3 x is equal to 5 into 10 - |

04:00 - 04:59 | 2010 - 25 and 45 - 16 022 - 4 6 and 12 now this is equal to 10 - 16 this is - 6 - 10 20 - 8 is 1210 minus minus plus this is 40 - 25 - 10 - 31 and 5 minus minus 12 is equal to minus 7 this is value of 3 X value of x |

05:00 - 05:59 | no value of x is equal to this will be 1 by 3 - 6 - 10 12 13 31 and -7 this is equal to minus 2 minus 10 34 this is 14 y3 this is -31 y3 and this is -7 y3 this is the matrix this is our answer thank you |