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If [x+3z+4 2y-7-6a-1 0b-3-21 0]=[0 6 3y-...

If `[x+3z+4 2y-7-6a-1 0b-3-21 0]=[0 6 3y-2-6-3 2c+2 2b+4-21 0]` Find the values of a, b, c, x, y and z.

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As the given matrices are equal. Therefore, their, corresponding elements must be equal. Comparing the corrsponding elements, we get
`{:(,x+3=0,z+4=6,2y-7=3y-2),(,a-1=-3,0=2c+2,b-3=2b+4):}`
`Rightarrow a=-2,b=-7,c=-1,x=-3,y=-5,z=2`
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RESONANCE ENGLISH-MATRICES & DETERMINANT-HLP
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  2. If a^2+b^2+c^2=1, then prove that |[a^2 +(b^2+c^2)cosθ, ab(1−cosθ), ...

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  3. Prove that |(a-x)^2(a-y)^2(a-z)^2(b-x)^2(b-y)^2(b-z)^2(c-x)^2(c-y)^2(...

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  4. If a x1 2+b y1 2+c z1 2=a x2 2+b y2 2+c z2 2=a x3 2+b y3 2+c z3 2=d ,a...

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  5. if (x(1)-x(2))^(2)+(y(1)-y(2))^(2)=a^(2), (x(2)-x(3))^(2)+(y(2)-y(3))^...

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  6. Let A=[{:(,cos^(-1)x, cos^(-1)y,cos^(-1)z),(,cos^(-1)y, cos^(-1)z,cos^...

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  8. If alpha, beta are the roots of the equation ax^(2)+bx+c=0 and S(n)=al...

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  9. Let a >0,d >-0. Find the value of the determinant |1/a1/(a(a+d))1/((a+...

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  16. If a,b,c are real number, and D=|{:(,a,1+2i,3-5i),(,1-2i,b,-7-3i),(,3+...

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  17. If A=[{:(,1,a),(,0,1):}] then find lim(n-oo) (1)/(n)A^(n)

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