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Maths: Algebra Matrices Class 12th

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matrix{{0, 1, -1}, {2, 1, 3}, {1, 1, 1}} matrix{{1, -1, x}} matrix{{0}, {1}, {1}}=0

Find the value of x

Don't give me the direct answer. Please tell me how to go about this. Draw in your notebook and then solve

  • Maths: Algebra Matrices Class 12th - ,

    Your matrix notation does not distinguish rows from columns, which is critical in matrices.
    The best possible interpretation I get is:

    a11 a12 a13
    a21 a22 a23
    a31 a32 a33
    multiplied by
    b1
    b2
    b3
    to give
    c1 c2 c3
    which is then multiplied by another
    d1
    d2
    d3
    to give
    e=0

    So multiply rows of a to the column b to give c, for example:
    c1=a11*b1+a12*b2+a13*b3
    and similarly for the other rows.
    Same for e:
    e=c1*d1+c2*d2+c3*d3

    Through the multiplication, you will preserve the value of x, and equate the value of e to zero to solve for x.

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