If find A2 – 5A – 14I.

Q33 of 307 Page 5

If find A² – 5A – 14I.

Given:

I is identity matrix so

To find

Now, we will find the matrix for A², we get

[as c_ij = a_i1b_1j + a_i2b_2j + … + a_inb_nj]

Now, we will find the matrix for 5A, we get

So,

Substitute corresponding values from eqn(i) and (ii), we get

[as r_ij = a_ij + b_ij + c_ij]

Therefore,

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