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Find matrices X and Y, if 2X – Y = [■8(𝟔&−𝟔&𝟎@−𝟒&𝟐&𝟏)] andX + 2Y = [■8(𝟑&𝟐&𝟓@−𝟐&𝟏&−𝟕)]........Q63
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Find matrices X and Y, if 2X – Y = [■8(𝟔&−𝟔&𝟎@−𝟒&𝟐&𝟏)] andX + 2Y = [■8(𝟑&𝟐…
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If [■8(𝟐&𝟏&𝟑)][■8(−𝟏&𝟎&−𝟏@−𝟏&𝟏&𝟎@𝟎&𝟏&𝟏)][■8(𝟏@𝟎…
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YouTubeZenith Institute of Mathematics
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If 𝐀=[■8(𝟏&𝟓@𝟕&𝟏𝟐)] & 𝐁=[■8(𝟗&𝟏@𝟕&𝟖)], find a matrix C such that 𝟑𝐀+𝟓𝐁+𝟐𝐂 is a null mat…
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Show that 𝐀=[■8(𝟓&𝟑@−𝟏&−𝟐)] satisfies the equation 𝐀^𝟐−𝟑𝐀−𝟕𝐈=𝐎 & hence find 𝐀^(…
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If 𝐀=[■8(𝟏&𝟐@𝟒&𝟏@𝟓&𝟔)], 𝐁=[■8(𝟏&𝟐@𝟔&𝟒@𝟕&𝟑)], then verify that: (𝟐𝐀+𝐁)^′=𝟐𝐀^′+𝐁^′〖 (𝐀−𝐁)〗…
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Let A = [■8(2&3@−1&2)] and f(x) = x2 – 4x + 7. Show that f(A) = O. Us…
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If A = [■8(𝟑&−𝟐@𝟒&−𝟐)] and 𝐈=[■8(𝟏&𝟎@𝟎&𝟏)], find k so that A2 = kA – 2I. ....Q116
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Let A = [𝒂𝒅𝒋] lie a 𝟑×𝟑 matrix such that 𝑨[■8(𝟎@𝟏@𝟎)]=[■8(𝟎@𝟎@𝟏)], 𝑨[■8(𝟒@𝟏@𝟑)]=■8(𝟎…
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Find A, if [■8(𝟒@𝟏@𝟑)]𝑨=[■8(−𝟒&𝟖&𝟒@−𝟏&𝟐&𝟏@−𝟑&𝟔&𝟑)]…
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If [■8(𝟑&−𝟐&𝟎)][■8(𝟐@𝐤@−𝟓)]=𝐎, where O is the null matrix, then the value of k …
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If matrix A = [■8(1&−1@−1&1)]and A2 = kA, find k. ......Q113
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Find A, if A + [■8(𝟐&𝟑@−𝟏&𝟒)]=[■8(𝟑&−𝟔@−𝟑&𝟖)].......Q40
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